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Finding the Third Proportional to 94.87 and 204.29

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Solution

The third proportional to 94.87 and 204.29 is: 439.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.87 : 204.29 = 204.29 : x
  2. Step 2: Convert to fraction form
    94.87/204.29 = 204.29/x
  3. Step 3: Cross multiply
    94.87x = 204.29 × 204.29
  4. Step 4: Simplify right side
    94.87x = 41,735.62
  5. Step 5: Solve for x
    x = 41,735.62/94.87
  6. Step 6: Final answer
    x = 439.93

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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.