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Finding the Third Proportional to 41,910.82 and 89,814.02

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Solution

The third proportional to 41,910.82 and 89,814.02 is: 192,469.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,910.82 : 89,814.02 = 89,814.02 : x
  2. Step 2: Convert to fraction form
    41,910.82/89,814.02 = 89,814.02/x
  3. Step 3: Cross multiply
    41,910.82x = 89,814.02 × 89,814.02
  4. Step 4: Simplify right side
    41,910.82x = 8,066,558,806.03
  5. Step 5: Solve for x
    x = 8,066,558,806.03/41,910.82
  6. Step 6: Final answer
    x = 192,469.60

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.