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Finding the Third Proportional to 78,912,686 and 172,910,812

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Solution

The third proportional to 78,912,686 and 172,910,812 is: 378,876,330.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,912,686 : 172,910,812 = 172,910,812 : x
  2. Step 2: Convert to fraction form
    78,912,686/172,910,812 = 172,910,812/x
  3. Step 3: Cross multiply
    78,912,686x = 172,910,812 × 172,910,812
  4. Step 4: Simplify right side
    78,912,686x = 29,898,148,906,499,344
  5. Step 5: Solve for x
    x = 29,898,148,906,499,344/78,912,686
  6. Step 6: Final answer
    x = 378,876,330.56

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.