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Finding the Third Proportional to 87,864 and 193,218

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Solution

The third proportional to 87,864 and 193,218 is: 424,897.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,864 : 193,218 = 193,218 : x
  2. Step 2: Convert to fraction form
    87,864/193,218 = 193,218/x
  3. Step 3: Cross multiply
    87,864x = 193,218 × 193,218
  4. Step 4: Simplify right side
    87,864x = 37,333,195,524
  5. Step 5: Solve for x
    x = 37,333,195,524/87,864
  6. Step 6: Final answer
    x = 424,897.52

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.