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Finding the Third Proportional to 91,105 and 200,147

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Solution

The third proportional to 91,105 and 200,147 is: 439,699.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,105 : 200,147 = 200,147 : x
  2. Step 2: Convert to fraction form
    91,105/200,147 = 200,147/x
  3. Step 3: Cross multiply
    91,105x = 200,147 × 200,147
  4. Step 4: Simplify right side
    91,105x = 40,058,821,609
  5. Step 5: Solve for x
    x = 40,058,821,609/91,105
  6. Step 6: Final answer
    x = 439,699.49

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.