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Finding the Third Proportional to 100,448 and 216,452

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Solution

The third proportional to 100,448 and 216,452 is: 466,425.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,448 : 216,452 = 216,452 : x
  2. Step 2: Convert to fraction form
    100,448/216,452 = 216,452/x
  3. Step 3: Cross multiply
    100,448x = 216,452 × 216,452
  4. Step 4: Simplify right side
    100,448x = 46,851,468,304
  5. Step 5: Solve for x
    x = 46,851,468,304/100,448
  6. Step 6: Final answer
    x = 466,425.10

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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.