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Finding the Third Proportional to 98.91 and 151.31

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Solution

The third proportional to 98.91 and 151.31 is: 231.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.91 : 151.31 = 151.31 : x
  2. Step 2: Convert to fraction form
    98.91/151.31 = 151.31/x
  3. Step 3: Cross multiply
    98.91x = 151.31 × 151.31
  4. Step 4: Simplify right side
    98.91x = 22,895.47
  5. Step 5: Solve for x
    x = 22,895.47/98.91
  6. Step 6: Final answer
    x = 231.49

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.