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Finding the Third Proportional to 43,077.38 and 66,196.69

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Solution

The third proportional to 43,077.38 and 66,196.69 is: 101,723.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,077.38 : 66,196.69 = 66,196.69 : x
  2. Step 2: Convert to fraction form
    43,077.38/66,196.69 = 66,196.69/x
  3. Step 3: Cross multiply
    43,077.38x = 66,196.69 × 66,196.69
  4. Step 4: Simplify right side
    43,077.38x = 4,382,001,435.97
  5. Step 5: Solve for x
    x = 4,382,001,435.97/43,077.38
  6. Step 6: Final answer
    x = 101,723.97

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.