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Finding the Third Proportional to 150,096 and 211,103

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Solution

The third proportional to 150,096 and 211,103 is: 296,906.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,096 : 211,103 = 211,103 : x
  2. Step 2: Convert to fraction form
    150,096/211,103 = 211,103/x
  3. Step 3: Cross multiply
    150,096x = 211,103 × 211,103
  4. Step 4: Simplify right side
    150,096x = 44,564,476,609
  5. Step 5: Solve for x
    x = 44,564,476,609/150,096
  6. Step 6: Final answer
    x = 296,906.49

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.