To find this information, I recommend contacting:
* The City of Cincinnati Animal Care and Control: They would likely have records on the number of licensed dogs within the city limits.
* The Cincinnati Humane Society: They might have estimates based on their intake and adoption data.
* The Cincinnati SPCA: Similar to the Humane Society, they could provide insights based on their animal care services.
You could also try searching for local news articles or studies that might have investigated the dog population in Cincinnati.