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Finding the Third Proportional to 43,896.38 and 94,717.13

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Solution

The third proportional to 43,896.38 and 94,717.13 is: 204,375.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,896.38 : 94,717.13 = 94,717.13 : x
  2. Step 2: Convert to fraction form
    43,896.38/94,717.13 = 94,717.13/x
  3. Step 3: Cross multiply
    43,896.38x = 94,717.13 × 94,717.13
  4. Step 4: Simplify right side
    43,896.38x = 8,971,333,768.27
  5. Step 5: Solve for x
    x = 8,971,333,768.27/43,896.38
  6. Step 6: Final answer
    x = 204,375.28

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Why These Related Problems?

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