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Finding the Third Proportional to 100,150 and 203,065

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Solution

The third proportional to 100,150 and 203,065 is: 411,736.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,150 : 203,065 = 203,065 : x
  2. Step 2: Convert to fraction form
    100,150/203,065 = 203,065/x
  3. Step 3: Cross multiply
    100,150x = 203,065 × 203,065
  4. Step 4: Simplify right side
    100,150x = 41,235,394,225
  5. Step 5: Solve for x
    x = 41,235,394,225/100,150
  6. Step 6: Final answer
    x = 411,736.34

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.