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Finding the Third Proportional to 43,878.38 and 94,761.75

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Solution

The third proportional to 43,878.38 and 94,761.75 is: 204,651.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,878.38 : 94,761.75 = 94,761.75 : x
  2. Step 2: Convert to fraction form
    43,878.38/94,761.75 = 94,761.75/x
  3. Step 3: Cross multiply
    43,878.38x = 94,761.75 × 94,761.75
  4. Step 4: Simplify right side
    43,878.38x = 8,979,789,263.06
  5. Step 5: Solve for x
    x = 8,979,789,263.06/43,878.38
  6. Step 6: Final answer
    x = 204,651.82

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.