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Finding the Third Proportional to 99.38 and 215.63

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Solution

The third proportional to 99.38 and 215.63 is: 467.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.38 : 215.63 = 215.63 : x
  2. Step 2: Convert to fraction form
    99.38/215.63 = 215.63/x
  3. Step 3: Cross multiply
    99.38x = 215.63 × 215.63
  4. Step 4: Simplify right side
    99.38x = 46,494.14
  5. Step 5: Solve for x
    x = 46,494.14/99.38
  6. Step 6: Final answer
    x = 467.87

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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.