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Finding the Third Proportional to 95.66 and 204.08

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Solution

The third proportional to 95.66 and 204.08 is: 435.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.66 : 204.08 = 204.08 : x
  2. Step 2: Convert to fraction form
    95.66/204.08 = 204.08/x
  3. Step 3: Cross multiply
    95.66x = 204.08 × 204.08
  4. Step 4: Simplify right side
    95.66x = 41,649.48
  5. Step 5: Solve for x
    x = 41,649.48/95.66
  6. Step 6: Final answer
    x = 435.39

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.