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Finding the Third Proportional to 192,187,732 and 297,835,872

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Solution

The third proportional to 192,187,732 and 297,835,872 is: 461,560,192.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,187,732 : 297,835,872 = 297,835,872 : x
  2. Step 2: Convert to fraction form
    192,187,732/297,835,872 = 297,835,872/x
  3. Step 3: Cross multiply
    192,187,732x = 297,835,872 × 297,835,872
  4. Step 4: Simplify right side
    192,187,732x = 88,706,206,650,000,384
  5. Step 5: Solve for x
    x = 88,706,206,650,000,384/192,187,732
  6. Step 6: Final answer
    x = 461,560,192.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.