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Finding the Third Proportional to 95.88 and 205.19

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Solution

The third proportional to 95.88 and 205.19 is: 439.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.88 : 205.19 = 205.19 : x
  2. Step 2: Convert to fraction form
    95.88/205.19 = 205.19/x
  3. Step 3: Cross multiply
    95.88x = 205.19 × 205.19
  4. Step 4: Simplify right side
    95.88x = 42,101.91
  5. Step 5: Solve for x
    x = 42,101.91/95.88
  6. Step 6: Final answer
    x = 439.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.