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Finding the Third Proportional to 96,408 and 209,952

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Solution

The third proportional to 96,408 and 209,952 is: 457,221.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,408 : 209,952 = 209,952 : x
  2. Step 2: Convert to fraction form
    96,408/209,952 = 209,952/x
  3. Step 3: Cross multiply
    96,408x = 209,952 × 209,952
  4. Step 4: Simplify right side
    96,408x = 44,079,842,304
  5. Step 5: Solve for x
    x = 44,079,842,304/96,408
  6. Step 6: Final answer
    x = 457,221.83

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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.