Cincinnati is 4.6 times larger than Providence, Rhode Island.
Area: 224 km2 calculated
Cincinnati is the third largest city in Ohio and the 28th largest city in the United States by metropolitan population and the county seat of Hamilton County. Settled in 1788, the city is located on the border between Ohio and Kentucky at the confluence of the Ohio River and the Licking River. Wikipedia
Area: 49 km2 calculated
Providence is the capital and most populous city in Rhode Island. Founded in 1636, it is one of the oldest cities in the United States. It is located in Providence County, and is the third-largest city in the New England region after Boston and Worcester. Wikipedia