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Finding the Third Proportional to 85,654.13 and 206,101.13

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Solution

The third proportional to 85,654.13 and 206,101.13 is: 495,920.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,654.13 : 206,101.13 = 206,101.13 : x
  2. Step 2: Convert to fraction form
    85,654.13/206,101.13 = 206,101.13/x
  3. Step 3: Cross multiply
    85,654.13x = 206,101.13 × 206,101.13
  4. Step 4: Simplify right side
    85,654.13x = 42,477,673,726.27
  5. Step 5: Solve for x
    x = 42,477,673,726.27/85,654.13
  6. Step 6: Final answer
    x = 495,920.93

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.