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Finding the Third Proportional to 206,133.19 and 453,637.13

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Solution

The third proportional to 206,133.19 and 453,637.13 is: 998,318.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,133.19 : 453,637.13 = 453,637.13 : x
  2. Step 2: Convert to fraction form
    206,133.19/453,637.13 = 453,637.13/x
  3. Step 3: Cross multiply
    206,133.19x = 453,637.13 × 453,637.13
  4. Step 4: Simplify right side
    206,133.19x = 205,786,641,178.27
  5. Step 5: Solve for x
    x = 205,786,641,178.27/206,133.19
  6. Step 6: Final answer
    x = 998,318.82

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.