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Finding the Third Proportional to 44,199 and 95,399.44

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Solution

The third proportional to 44,199 and 95,399.44 is: 205,910.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,199 : 95,399.44 = 95,399.44 : x
  2. Step 2: Convert to fraction form
    44,199/95,399.44 = 95,399.44/x
  3. Step 3: Cross multiply
    44,199x = 95,399.44 × 95,399.44
  4. Step 4: Simplify right side
    44,199x = 9,101,052,675.32
  5. Step 5: Solve for x
    x = 9,101,052,675.32/44,199
  6. Step 6: Final answer
    x = 205,910.83

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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.