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Finding the Third Proportional to 138,229,351.50 and 296,972,610

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Solution

The third proportional to 138,229,351.50 and 296,972,610 is: 638,017,397.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,229,351.50 : 296,972,610 = 296,972,610 : x
  2. Step 2: Convert to fraction form
    138,229,351.50/296,972,610 = 296,972,610/x
  3. Step 3: Cross multiply
    138,229,351.50x = 296,972,610 × 296,972,610
  4. Step 4: Simplify right side
    138,229,351.50x = 88,192,731,090,212,096
  5. Step 5: Solve for x
    x = 88,192,731,090,212,096/138,229,351.50
  6. Step 6: Final answer
    x = 638,017,397.41

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.