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Finding the Third Proportional to 103.15 and 217.90

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Solution

The third proportional to 103.15 and 217.90 is: 460.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.15 : 217.90 = 217.90 : x
  2. Step 2: Convert to fraction form
    103.15/217.90 = 217.90/x
  3. Step 3: Cross multiply
    103.15x = 217.90 × 217.90
  4. Step 4: Simplify right side
    103.15x = 47,479.73
  5. Step 5: Solve for x
    x = 47,479.73/103.15
  6. Step 6: Final answer
    x = 460.30

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.