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Finding the Third Proportional to 129,102,084 and 194,031,494

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Solution

The third proportional to 129,102,084 and 194,031,494 is: 291,615,901.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,102,084 : 194,031,494 = 194,031,494 : x
  2. Step 2: Convert to fraction form
    129,102,084/194,031,494 = 194,031,494/x
  3. Step 3: Cross multiply
    129,102,084x = 194,031,494 × 194,031,494
  4. Step 4: Simplify right side
    129,102,084x = 37,648,220,663,872,032
  5. Step 5: Solve for x
    x = 37,648,220,663,872,032/129,102,084
  6. Step 6: Final answer
    x = 291,615,901.91

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Why These Related Problems?

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