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Finding the Third Proportional to 106,656.75 and 217,009.13

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Solution

The third proportional to 106,656.75 and 217,009.13 is: 441,537.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,656.75 : 217,009.13 = 217,009.13 : x
  2. Step 2: Convert to fraction form
    106,656.75/217,009.13 = 217,009.13/x
  3. Step 3: Cross multiply
    106,656.75x = 217,009.13 × 217,009.13
  4. Step 4: Simplify right side
    106,656.75x = 47,092,960,333.27
  5. Step 5: Solve for x
    x = 47,092,960,333.27/106,656.75
  6. Step 6: Final answer
    x = 441,537.55

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These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.