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Finding the Third Proportional to 95,698 and 209,540

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Solution

The third proportional to 95,698 and 209,540 is: 458,808.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,698 : 209,540 = 209,540 : x
  2. Step 2: Convert to fraction form
    95,698/209,540 = 209,540/x
  3. Step 3: Cross multiply
    95,698x = 209,540 × 209,540
  4. Step 4: Simplify right side
    95,698x = 43,907,011,600
  5. Step 5: Solve for x
    x = 43,907,011,600/95,698
  6. Step 6: Final answer
    x = 458,808.04

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