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Finding the Third Proportional to 95.09 and 206.46

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Solution

The third proportional to 95.09 and 206.46 is: 448.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.09 : 206.46 = 206.46 : x
  2. Step 2: Convert to fraction form
    95.09/206.46 = 206.46/x
  3. Step 3: Cross multiply
    95.09x = 206.46 × 206.46
  4. Step 4: Simplify right side
    95.09x = 42,626.12
  5. Step 5: Solve for x
    x = 42,626.12/95.09
  6. Step 6: Final answer
    x = 448.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.