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Finding the Third Proportional to 44,197 and 95,452

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Solution

The third proportional to 44,197 and 95,452 is: 206,147.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,197 : 95,452 = 95,452 : x
  2. Step 2: Convert to fraction form
    44,197/95,452 = 95,452/x
  3. Step 3: Cross multiply
    44,197x = 95,452 × 95,452
  4. Step 4: Simplify right side
    44,197x = 9,111,084,304
  5. Step 5: Solve for x
    x = 9,111,084,304/44,197
  6. Step 6: Final answer
    x = 206,147.12

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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.