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Finding the Third Proportional to 41,108.77 and 89,906.20

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Solution

The third proportional to 41,108.77 and 89,906.20 is: 196,627.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,108.77 : 89,906.20 = 89,906.20 : x
  2. Step 2: Convert to fraction form
    41,108.77/89,906.20 = 89,906.20/x
  3. Step 3: Cross multiply
    41,108.77x = 89,906.20 × 89,906.20
  4. Step 4: Simplify right side
    41,108.77x = 8,083,125,360.35
  5. Step 5: Solve for x
    x = 8,083,125,360.35/41,108.77
  6. Step 6: Final answer
    x = 196,627.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.