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Finding the Third Proportional to 95,694 and 209,532

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Solution

The third proportional to 95,694 and 209,532 is: 458,792.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,694 : 209,532 = 209,532 : x
  2. Step 2: Convert to fraction form
    95,694/209,532 = 209,532/x
  3. Step 3: Cross multiply
    95,694x = 209,532 × 209,532
  4. Step 4: Simplify right side
    95,694x = 43,903,659,024
  5. Step 5: Solve for x
    x = 43,903,659,024/95,694
  6. Step 6: Final answer
    x = 458,792.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.