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Finding the Third Proportional to 129,102,086 and 194,031,497

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Solution

The third proportional to 129,102,086 and 194,031,497 is: 291,615,906.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,102,086 : 194,031,497 = 194,031,497 : x
  2. Step 2: Convert to fraction form
    129,102,086/194,031,497 = 194,031,497/x
  3. Step 3: Cross multiply
    129,102,086x = 194,031,497 × 194,031,497
  4. Step 4: Simplify right side
    129,102,086x = 37,648,221,828,061,008
  5. Step 5: Solve for x
    x = 37,648,221,828,061,008/129,102,086
  6. Step 6: Final answer
    x = 291,615,906.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.