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Finding the Third Proportional to 95,695 and 209,534

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Solution

The third proportional to 95,695 and 209,534 is: 458,796.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,695 : 209,534 = 209,534 : x
  2. Step 2: Convert to fraction form
    95,695/209,534 = 209,534/x
  3. Step 3: Cross multiply
    95,695x = 209,534 × 209,534
  4. Step 4: Simplify right side
    95,695x = 43,904,497,156
  5. Step 5: Solve for x
    x = 43,904,497,156/95,695
  6. Step 6: Final answer
    x = 458,796.15

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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.