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Finding the Third Proportional to 69,217.13 and 108,439.31

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Solution

The third proportional to 69,217.13 and 108,439.31 is: 169,886.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,217.13 : 108,439.31 = 108,439.31 : x
  2. Step 2: Convert to fraction form
    69,217.13/108,439.31 = 108,439.31/x
  3. Step 3: Cross multiply
    69,217.13x = 108,439.31 × 108,439.31
  4. Step 4: Simplify right side
    69,217.13x = 11,759,084,495.47
  5. Step 5: Solve for x
    x = 11,759,084,495.47/69,217.13
  6. Step 6: Final answer
    x = 169,886.92

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.