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Finding the Third Proportional to 99,508 and 217,916

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Solution

The third proportional to 99,508 and 217,916 is: 477,221.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,508 : 217,916 = 217,916 : x
  2. Step 2: Convert to fraction form
    99,508/217,916 = 217,916/x
  3. Step 3: Cross multiply
    99,508x = 217,916 × 217,916
  4. Step 4: Simplify right side
    99,508x = 47,487,383,056
  5. Step 5: Solve for x
    x = 47,487,383,056/99,508
  6. Step 6: Final answer
    x = 477,221.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.