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Finding the Third Proportional to 95.06 and 204.66

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Solution

The third proportional to 95.06 and 204.66 is: 440.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.06 : 204.66 = 204.66 : x
  2. Step 2: Convert to fraction form
    95.06/204.66 = 204.66/x
  3. Step 3: Cross multiply
    95.06x = 204.66 × 204.66
  4. Step 4: Simplify right side
    95.06x = 41,884.18
  5. Step 5: Solve for x
    x = 41,884.18/95.06
  6. Step 6: Final answer
    x = 440.60

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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.