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Finding the Third Proportional to 150,098 and 211,107

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Solution

The third proportional to 150,098 and 211,107 is: 296,913.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,098 : 211,107 = 211,107 : x
  2. Step 2: Convert to fraction form
    150,098/211,107 = 211,107/x
  3. Step 3: Cross multiply
    150,098x = 211,107 × 211,107
  4. Step 4: Simplify right side
    150,098x = 44,566,165,449
  5. Step 5: Solve for x
    x = 44,566,165,449/150,098
  6. Step 6: Final answer
    x = 296,913.79

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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.