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Finding the Third Proportional to 99.44 and 148.56

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Solution

The third proportional to 99.44 and 148.56 is: 221.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.44 : 148.56 = 148.56 : x
  2. Step 2: Convert to fraction form
    99.44/148.56 = 148.56/x
  3. Step 3: Cross multiply
    99.44x = 148.56 × 148.56
  4. Step 4: Simplify right side
    99.44x = 22,070.82
  5. Step 5: Solve for x
    x = 22,070.82/99.44
  6. Step 6: Final answer
    x = 221.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.