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Finding the Third Proportional to 78,912,760 and 172,910,960

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Solution

The third proportional to 78,912,760 and 172,910,960 is: 378,876,623.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,912,760 : 172,910,960 = 172,910,960 : x
  2. Step 2: Convert to fraction form
    78,912,760/172,910,960 = 172,910,960/x
  3. Step 3: Cross multiply
    78,912,760x = 172,910,960 × 172,910,960
  4. Step 4: Simplify right side
    78,912,760x = 29,898,200,088,121,600
  5. Step 5: Solve for x
    x = 29,898,200,088,121,600/78,912,760
  6. Step 6: Final answer
    x = 378,876,623.86

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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.