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Finding the Third Proportional to 99,976 and 217,448

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Solution

The third proportional to 99,976 and 217,448 is: 472,949.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,976 : 217,448 = 217,448 : x
  2. Step 2: Convert to fraction form
    99,976/217,448 = 217,448/x
  3. Step 3: Cross multiply
    99,976x = 217,448 × 217,448
  4. Step 4: Simplify right side
    99,976x = 47,283,632,704
  5. Step 5: Solve for x
    x = 47,283,632,704/99,976
  6. Step 6: Final answer
    x = 472,949.84

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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.