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Finding the Third Proportional to 95,168 and 209,452

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Solution

The third proportional to 95,168 and 209,452 is: 460,975.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,168 : 209,452 = 209,452 : x
  2. Step 2: Convert to fraction form
    95,168/209,452 = 209,452/x
  3. Step 3: Cross multiply
    95,168x = 209,452 × 209,452
  4. Step 4: Simplify right side
    95,168x = 43,870,140,304
  5. Step 5: Solve for x
    x = 43,870,140,304/95,168
  6. Step 6: Final answer
    x = 460,975.75

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.