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Finding the Third Proportional to 94,761.56 and 204,285.38

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Solution

The third proportional to 94,761.56 and 204,285.38 is: 440,394.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,761.56 : 204,285.38 = 204,285.38 : x
  2. Step 2: Convert to fraction form
    94,761.56/204,285.38 = 204,285.38/x
  3. Step 3: Cross multiply
    94,761.56x = 204,285.38 × 204,285.38
  4. Step 4: Simplify right side
    94,761.56x = 41,732,514,438.89
  5. Step 5: Solve for x
    x = 41,732,514,438.89/94,761.56
  6. Step 6: Final answer
    x = 440,394.96

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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.