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Finding the Third Proportional to 95,286 and 204,927

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Solution

The third proportional to 95,286 and 204,927 is: 440,726.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,286 : 204,927 = 204,927 : x
  2. Step 2: Convert to fraction form
    95,286/204,927 = 204,927/x
  3. Step 3: Cross multiply
    95,286x = 204,927 × 204,927
  4. Step 4: Simplify right side
    95,286x = 41,995,075,329
  5. Step 5: Solve for x
    x = 41,995,075,329/95,286
  6. Step 6: Final answer
    x = 440,726.61

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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.