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Finding the Third Proportional to 100,432 and 216,424

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Solution

The third proportional to 100,432 and 216,424 is: 466,378.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,432 : 216,424 = 216,424 : x
  2. Step 2: Convert to fraction form
    100,432/216,424 = 216,424/x
  3. Step 3: Cross multiply
    100,432x = 216,424 × 216,424
  4. Step 4: Simplify right side
    100,432x = 46,839,347,776
  5. Step 5: Solve for x
    x = 46,839,347,776/100,432
  6. Step 6: Final answer
    x = 466,378.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.