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Finding the Third Proportional to 99.19 and 148.41

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Solution

The third proportional to 99.19 and 148.41 is: 222.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.19 : 148.41 = 148.41 : x
  2. Step 2: Convert to fraction form
    99.19/148.41 = 148.41/x
  3. Step 3: Cross multiply
    99.19x = 148.41 × 148.41
  4. Step 4: Simplify right side
    99.19x = 22,024.42
  5. Step 5: Solve for x
    x = 22,024.42/99.19
  6. Step 6: Final answer
    x = 222.05

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Why These Related Problems?

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