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Finding the Third Proportional to 92,474 and 199,690

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Solution

The third proportional to 92,474 and 199,690 is: 431,214.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,474 : 199,690 = 199,690 : x
  2. Step 2: Convert to fraction form
    92,474/199,690 = 199,690/x
  3. Step 3: Cross multiply
    92,474x = 199,690 × 199,690
  4. Step 4: Simplify right side
    92,474x = 39,876,096,100
  5. Step 5: Solve for x
    x = 39,876,096,100/92,474
  6. Step 6: Final answer
    x = 431,214.14

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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.