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Finding the Third Proportional to 89.91 and 216.52

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Solution

The third proportional to 89.91 and 216.52 is: 521.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.91 : 216.52 = 216.52 : x
  2. Step 2: Convert to fraction form
    89.91/216.52 = 216.52/x
  3. Step 3: Cross multiply
    89.91x = 216.52 × 216.52
  4. Step 4: Simplify right side
    89.91x = 46,879.02
  5. Step 5: Solve for x
    x = 46,879.02/89.91
  6. Step 6: Final answer
    x = 521.42

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.