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Finding the Third Proportional to 116,659.13 and 164,395.13

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Solution

The third proportional to 116,659.13 and 164,395.13 is: 231,664.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,659.13 : 164,395.13 = 164,395.13 : x
  2. Step 2: Convert to fraction form
    116,659.13/164,395.13 = 164,395.13/x
  3. Step 3: Cross multiply
    116,659.13x = 164,395.13 × 164,395.13
  4. Step 4: Simplify right side
    116,659.13x = 27,025,757,123.77
  5. Step 5: Solve for x
    x = 27,025,757,123.77/116,659.13
  6. Step 6: Final answer
    x = 231,664.32

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.