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Finding the Third Proportional to 44,493 and 95,914.50

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Solution

The third proportional to 44,493 and 95,914.50 is: 206,764.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,493 : 95,914.50 = 95,914.50 : x
  2. Step 2: Convert to fraction form
    44,493/95,914.50 = 95,914.50/x
  3. Step 3: Cross multiply
    44,493x = 95,914.50 × 95,914.50
  4. Step 4: Simplify right side
    44,493x = 9,199,591,310.25
  5. Step 5: Solve for x
    x = 9,199,591,310.25/44,493
  6. Step 6: Final answer
    x = 206,764.91

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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.