* Formal and technical: "The chemical compound was composed of two distinct moieties, each contributing unique properties to the overall structure."
* Describing parts of a whole: "The company's profits were split evenly between the two moieties of the business: manufacturing and retail."
* More abstract: "The ancient tribe's social structure was divided into two moieties, each with its own distinct rituals and responsibilities."
Remember, "moiety" implies a significant portion, not just any small part.