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Finding the Third Proportional to 41,446.69 and 89,439.19

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Solution

The third proportional to 41,446.69 and 89,439.19 is: 193,003.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,446.69 : 89,439.19 = 89,439.19 : x
  2. Step 2: Convert to fraction form
    41,446.69/89,439.19 = 89,439.19/x
  3. Step 3: Cross multiply
    41,446.69x = 89,439.19 × 89,439.19
  4. Step 4: Simplify right side
    41,446.69x = 7,999,368,260.66
  5. Step 5: Solve for x
    x = 7,999,368,260.66/41,446.69
  6. Step 6: Final answer
    x = 193,003.80

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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.