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Finding the Third Proportional to 100,872 and 219,424

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Solution

The third proportional to 100,872 and 219,424 is: 477,306.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,872 : 219,424 = 219,424 : x
  2. Step 2: Convert to fraction form
    100,872/219,424 = 219,424/x
  3. Step 3: Cross multiply
    100,872x = 219,424 × 219,424
  4. Step 4: Simplify right side
    100,872x = 48,146,891,776
  5. Step 5: Solve for x
    x = 48,146,891,776/100,872
  6. Step 6: Final answer
    x = 477,306.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.