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Is 167,000 arpents as big as Lake Michigan?

It's about one-one-hundredth as big as Lake Michigan
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The size of Lake Michigan is about 16,900,000 arpents.
(surface area)
The third largest of North America's Great Lakes (by surface area), Lake Michigan has a total area of 16,900,000 arpents. It borders the cities of Chicago, Illinois; Milwaukee, Wisconsin; and Green Bay, Wisconsin
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