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Finding the Third Proportional to 100.91 and 151.37

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Solution

The third proportional to 100.91 and 151.37 is: 227.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.91 : 151.37 = 151.37 : x
  2. Step 2: Convert to fraction form
    100.91/151.37 = 151.37/x
  3. Step 3: Cross multiply
    100.91x = 151.37 × 151.37
  4. Step 4: Simplify right side
    100.91x = 22,913.10
  5. Step 5: Solve for x
    x = 22,913.10/100.91
  6. Step 6: Final answer
    x = 227.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.