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Finding the Third Proportional to 94,591.13 and 206,938.13

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Solution

The third proportional to 94,591.13 and 206,938.13 is: 452,720.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,591.13 : 206,938.13 = 206,938.13 : x
  2. Step 2: Convert to fraction form
    94,591.13/206,938.13 = 206,938.13/x
  3. Step 3: Cross multiply
    94,591.13x = 206,938.13 × 206,938.13
  4. Step 4: Simplify right side
    94,591.13x = 42,823,387,578.52
  5. Step 5: Solve for x
    x = 42,823,387,578.52/94,591.13
  6. Step 6: Final answer
    x = 452,720.99

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