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Finding the Third Proportional to 45,873.88 and 95,909.13

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Solution

The third proportional to 45,873.88 and 95,909.13 is: 200,518.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,873.88 : 95,909.13 = 95,909.13 : x
  2. Step 2: Convert to fraction form
    45,873.88/95,909.13 = 95,909.13/x
  3. Step 3: Cross multiply
    45,873.88x = 95,909.13 × 95,909.13
  4. Step 4: Simplify right side
    45,873.88x = 9,198,560,258.27
  5. Step 5: Solve for x
    x = 9,198,560,258.27/45,873.88
  6. Step 6: Final answer
    x = 200,518.49

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.