Williamson showed wonderful reflexes to dive and dismiss Hasan Ali in Dunedin.
Williamson, who has a century already in the five-match series, took time to find his form on a pitch slower than others the teams have played on recently.
Five wickets down at 15, the team barely managed to go past its worst-ever ODI total of 43 (vs West Indies at Cape Town in 1993).
Taylor was able to score more freely than Williamson, perhaps because the conditions favoured the straight-bat shots which are his forte, and reached his 40th ODI half century from 49 balls.
Pakistan rocketed from 141 for seven in the 37th over to make 246 for nine in game two, repeating a pattern that has been all too common in recent seasons where New Zealand have let the score get away on them after a solid start.
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New Zealand's winning margin also eclipsed their previous biggest victory over Pakistan, which had been 138 runs at Christchurch in 2001.
"It looks like a better wicket (than Wellington), that's why we will bat first".
Builder Craig Dougherty became the first to take a $50K catch this home summer when he caught a smashing six from Martin Guptill in the opening over of today's ODI between the Black Caps and Pakistan at Dunedin's University Oval.
Azhar Ali (0) went in the second over, caught at first slip Ross Taylor.
Babar Azam (8) was unlucky when he tried to slide his bat completing a second run, but the bat dug into the ground short of the crease and he was run out.
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"The principal change to the procedures will see a dedicated "catch zone" created at venues, in which Tui Catch-A-Million contestants will have to be located in order to qualify for the prize".
There was one bright light for Pakistan when Faheem Ashraf hooked Ferguson for six over the grandstand roof.
Henry Nicholls was out one ball after Taylor, both falling to the young leg-spinner Shadab Khan, and Tom Latham (35) and Mitchell Santner (6) fell to consecutive deliveries from Rumman Raees and Hasan Ali.
The fourth match will be played in Hamilton on Tuesday.
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