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Finding the Third Proportional to 221.91 and 467.96

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Solution

The third proportional to 221.91 and 467.96 is: 986.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.91 : 467.96 = 467.96 : x
  2. Step 2: Convert to fraction form
    221.91/467.96 = 467.96/x
  3. Step 3: Cross multiply
    221.91x = 467.96 × 467.96
  4. Step 4: Simplify right side
    221.91x = 218,991.09
  5. Step 5: Solve for x
    x = 218,991.09/221.91
  6. Step 6: Final answer
    x = 986.86

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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.