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Finding the Third Proportional to 99,332 and 215,596

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Solution

The third proportional to 99,332 and 215,596 is: 467,942.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,332 : 215,596 = 215,596 : x
  2. Step 2: Convert to fraction form
    99,332/215,596 = 215,596/x
  3. Step 3: Cross multiply
    99,332x = 215,596 × 215,596
  4. Step 4: Simplify right side
    99,332x = 46,481,635,216
  5. Step 5: Solve for x
    x = 46,481,635,216/99,332
  6. Step 6: Final answer
    x = 467,942.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.