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Finding the Third Proportional to 100.69 and 150.19

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Solution

The third proportional to 100.69 and 150.19 is: 224.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.69 : 150.19 = 150.19 : x
  2. Step 2: Convert to fraction form
    100.69/150.19 = 150.19/x
  3. Step 3: Cross multiply
    100.69x = 150.19 × 150.19
  4. Step 4: Simplify right side
    100.69x = 22,556.29
  5. Step 5: Solve for x
    x = 22,556.29/100.69
  6. Step 6: Final answer
    x = 224.02

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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.