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Finding the Third Proportional to 138,951,542 and 204,385,611

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Solution

The third proportional to 138,951,542 and 204,385,611 is: 300,633,425.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,951,542 : 204,385,611 = 204,385,611 : x
  2. Step 2: Convert to fraction form
    138,951,542/204,385,611 = 204,385,611/x
  3. Step 3: Cross multiply
    138,951,542x = 204,385,611 × 204,385,611
  4. Step 4: Simplify right side
    138,951,542x = 41,773,477,983,843,320
  5. Step 5: Solve for x
    x = 41,773,477,983,843,320/138,951,542
  6. Step 6: Final answer
    x = 300,633,425.02

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.