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Finding the Third Proportional to 96,408 and 207,618.75

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Solution

The third proportional to 96,408 and 207,618.75 is: 447,115.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,408 : 207,618.75 = 207,618.75 : x
  2. Step 2: Convert to fraction form
    96,408/207,618.75 = 207,618.75/x
  3. Step 3: Cross multiply
    96,408x = 207,618.75 × 207,618.75
  4. Step 4: Simplify right side
    96,408x = 43,105,545,351.56
  5. Step 5: Solve for x
    x = 43,105,545,351.56/96,408
  6. Step 6: Final answer
    x = 447,115.86

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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.