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Finding the Third Proportional to 95,179.50 and 204,713

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Solution

The third proportional to 95,179.50 and 204,713 is: 440,298.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,179.50 : 204,713 = 204,713 : x
  2. Step 2: Convert to fraction form
    95,179.50/204,713 = 204,713/x
  3. Step 3: Cross multiply
    95,179.50x = 204,713 × 204,713
  4. Step 4: Simplify right side
    95,179.50x = 41,907,412,369
  5. Step 5: Solve for x
    x = 41,907,412,369/95,179.50
  6. Step 6: Final answer
    x = 440,298.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.