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Finding the Third Proportional to 92,367 and 199,469.25

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Solution

The third proportional to 92,367 and 199,469.25 is: 430,759.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,367 : 199,469.25 = 199,469.25 : x
  2. Step 2: Convert to fraction form
    92,367/199,469.25 = 199,469.25/x
  3. Step 3: Cross multiply
    92,367x = 199,469.25 × 199,469.25
  4. Step 4: Simplify right side
    92,367x = 39,787,981,695.56
  5. Step 5: Solve for x
    x = 39,787,981,695.56/92,367
  6. Step 6: Final answer
    x = 430,759.71

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.