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Finding the Third Proportional to 91,606 and 198,876

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Solution

The third proportional to 91,606 and 198,876 is: 431,758.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,606 : 198,876 = 198,876 : x
  2. Step 2: Convert to fraction form
    91,606/198,876 = 198,876/x
  3. Step 3: Cross multiply
    91,606x = 198,876 × 198,876
  4. Step 4: Simplify right side
    91,606x = 39,551,663,376
  5. Step 5: Solve for x
    x = 39,551,663,376/91,606
  6. Step 6: Final answer
    x = 431,758.44

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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.