There are several synonyms for the term "balloting place" which is typically used to describe a location where people gather to cast their vote in an election. One common synonym is "polling station" which is used in the United Kingdom and other countries with parliamentary systems. Another term that is frequently used in the United States is "voting precinct" which typically refers to a specific geographic area where voters are registered to vote. Additionally, the terms "voting booth" or "polling booth" are often used to describe the individual spaces where voters go to cast their ballot. Overall, there are many different ways to describe a balloting place depending on the country and specific context.