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Finding the Third Proportional to 99.88 and 149.94

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Solution

The third proportional to 99.88 and 149.94 is: 225.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.88 : 149.94 = 149.94 : x
  2. Step 2: Convert to fraction form
    99.88/149.94 = 149.94/x
  3. Step 3: Cross multiply
    99.88x = 149.94 × 149.94
  4. Step 4: Simplify right side
    99.88x = 22,481.25
  5. Step 5: Solve for x
    x = 22,481.25/99.88
  6. Step 6: Final answer
    x = 225.09

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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.