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Finding the Third Proportional to 106,188.38 and 160,642.88

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Solution

The third proportional to 106,188.38 and 160,642.88 is: 243,022.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,188.38 : 160,642.88 = 160,642.88 : x
  2. Step 2: Convert to fraction form
    106,188.38/160,642.88 = 160,642.88/x
  3. Step 3: Cross multiply
    106,188.38x = 160,642.88 × 160,642.88
  4. Step 4: Simplify right side
    106,188.38x = 25,806,133,288.27
  5. Step 5: Solve for x
    x = 25,806,133,288.27/106,188.38
  6. Step 6: Final answer
    x = 243,022.21

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.