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Finding the Third Proportional to 138,951,544 and 204,385,614

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Solution

The third proportional to 138,951,544 and 204,385,614 is: 300,633,429.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,951,544 : 204,385,614 = 204,385,614 : x
  2. Step 2: Convert to fraction form
    138,951,544/204,385,614 = 204,385,614/x
  3. Step 3: Cross multiply
    138,951,544x = 204,385,614 × 204,385,614
  4. Step 4: Simplify right side
    138,951,544x = 41,773,479,210,156,992
  5. Step 5: Solve for x
    x = 41,773,479,210,156,992/138,951,544
  6. Step 6: Final answer
    x = 300,633,429.52

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