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Finding the Third Proportional to 118,857.38 and 161,883.56

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Solution

The third proportional to 118,857.38 and 161,883.56 is: 220,485.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,857.38 : 161,883.56 = 161,883.56 : x
  2. Step 2: Convert to fraction form
    118,857.38/161,883.56 = 161,883.56/x
  3. Step 3: Cross multiply
    118,857.38x = 161,883.56 × 161,883.56
  4. Step 4: Simplify right side
    118,857.38x = 26,206,287,807.69
  5. Step 5: Solve for x
    x = 26,206,287,807.69/118,857.38
  6. Step 6: Final answer
    x = 220,485.16

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.