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Finding the Third Proportional to 99,329 and 215,591

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Solution

The third proportional to 99,329 and 215,591 is: 467,934.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,329 : 215,591 = 215,591 : x
  2. Step 2: Convert to fraction form
    99,329/215,591 = 215,591/x
  3. Step 3: Cross multiply
    99,329x = 215,591 × 215,591
  4. Step 4: Simplify right side
    99,329x = 46,479,479,281
  5. Step 5: Solve for x
    x = 46,479,479,281/99,329
  6. Step 6: Final answer
    x = 467,934.63

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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.