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Finding the Third Proportional to 100,591 and 218,488

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Solution

The third proportional to 100,591 and 218,488 is: 474,565.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,591 : 218,488 = 218,488 : x
  2. Step 2: Convert to fraction form
    100,591/218,488 = 218,488/x
  3. Step 3: Cross multiply
    100,591x = 218,488 × 218,488
  4. Step 4: Simplify right side
    100,591x = 47,737,006,144
  5. Step 5: Solve for x
    x = 47,737,006,144/100,591
  6. Step 6: Final answer
    x = 474,565.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.