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Finding the Third Proportional to 138,072,417.75 and 306,792,906.75

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Solution

The third proportional to 138,072,417.75 and 306,792,906.75 is: 681,684,938.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,072,417.75 : 306,792,906.75 = 306,792,906.75 : x
  2. Step 2: Convert to fraction form
    138,072,417.75/306,792,906.75 = 306,792,906.75/x
  3. Step 3: Cross multiply
    138,072,417.75x = 306,792,906.75 × 306,792,906.75
  4. Step 4: Simplify right side
    138,072,417.75x = 94,121,887,632,114,192
  5. Step 5: Solve for x
    x = 94,121,887,632,114,192/138,072,417.75
  6. Step 6: Final answer
    x = 681,684,938.71

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.