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Finding the Third Proportional to 95,799 and 205,836

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Solution

The third proportional to 95,799 and 205,836 is: 442,264.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,799 : 205,836 = 205,836 : x
  2. Step 2: Convert to fraction form
    95,799/205,836 = 205,836/x
  3. Step 3: Cross multiply
    95,799x = 205,836 × 205,836
  4. Step 4: Simplify right side
    95,799x = 42,368,458,896
  5. Step 5: Solve for x
    x = 42,368,458,896/95,799
  6. Step 6: Final answer
    x = 442,264.10

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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.