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Finding the Third Proportional to 44,399 and 95,116

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Solution

The third proportional to 44,399 and 95,116 is: 203,767.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,399 : 95,116 = 95,116 : x
  2. Step 2: Convert to fraction form
    44,399/95,116 = 95,116/x
  3. Step 3: Cross multiply
    44,399x = 95,116 × 95,116
  4. Step 4: Simplify right side
    44,399x = 9,047,053,456
  5. Step 5: Solve for x
    x = 9,047,053,456/44,399
  6. Step 6: Final answer
    x = 203,767.05

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.