It seems there might be some confusion in your question regarding "protons" and "price." Protons themselves are subatomic particles found in the nucleus of an atom and do not have a monetary price. However, if you are referring to the costs associated with proton therapy, a form of cancer treatment that uses protons to target tumors, that information can be provided.
Proton therapy can be quite expensive due to the advanced technology and infrastructure required to deliver the treatment. The cost of proton therapy varies widely based on factors such as geographic location, healthcare providers, and specific treatment plans. Typically, the total cost for a course of proton therapy can range from $30,000 to $100,000 or more, depending on the number of sessions needed and other associated medical expenses.
If you meant something different by "price through protons," please clarify your question, and I'll be happy to help!