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Finding the Third Proportional to 44,206.88 and 90,456.19

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Solution

The third proportional to 44,206.88 and 90,456.19 is: 185,091.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,206.88 : 90,456.19 = 90,456.19 : x
  2. Step 2: Convert to fraction form
    44,206.88/90,456.19 = 90,456.19/x
  3. Step 3: Cross multiply
    44,206.88x = 90,456.19 × 90,456.19
  4. Step 4: Simplify right side
    44,206.88x = 8,182,321,857.04
  5. Step 5: Solve for x
    x = 8,182,321,857.04/44,206.88
  6. Step 6: Final answer
    x = 185,091.61

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.