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Finding the Third Proportional to 41,619.92 and 89,890.19

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Solution

The third proportional to 41,619.92 and 89,890.19 is: 194,143.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,619.92 : 89,890.19 = 89,890.19 : x
  2. Step 2: Convert to fraction form
    41,619.92/89,890.19 = 89,890.19/x
  3. Step 3: Cross multiply
    41,619.92x = 89,890.19 × 89,890.19
  4. Step 4: Simplify right side
    41,619.92x = 8,080,245,369.87
  5. Step 5: Solve for x
    x = 8,080,245,369.87/41,619.92
  6. Step 6: Final answer
    x = 194,143.70

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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.