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Finding the Third Proportional to 99 and 216.56

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Solution

The third proportional to 99 and 216.56 is: 473.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    99 : 216.56 = 216.56 : x
  2. Step 2: Convert to fraction form
    99/216.56 = 216.56/x
  3. Step 3: Cross multiply
    99x = 216.56 × 216.56
  4. Step 4: Simplify right side
    99x = 46,899.32
  5. Step 5: Solve for x
    x = 46,899.32/99
  6. Step 6: Final answer
    x = 473.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.