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Finding the Third Proportional to 41,894.72 and 95,715.42

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Solution

The third proportional to 41,894.72 and 95,715.42 is: 218,677.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,894.72 : 95,715.42 = 95,715.42 : x
  2. Step 2: Convert to fraction form
    41,894.72/95,715.42 = 95,715.42/x
  3. Step 3: Cross multiply
    41,894.72x = 95,715.42 × 95,715.42
  4. Step 4: Simplify right side
    41,894.72x = 9,161,441,984.71
  5. Step 5: Solve for x
    x = 9,161,441,984.71/41,894.72
  6. Step 6: Final answer
    x = 218,677.73

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These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.