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Finding the Third Proportional to 96,412 and 200,115

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Solution

The third proportional to 96,412 and 200,115 is: 415,363.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,412 : 200,115 = 200,115 : x
  2. Step 2: Convert to fraction form
    96,412/200,115 = 200,115/x
  3. Step 3: Cross multiply
    96,412x = 200,115 × 200,115
  4. Step 4: Simplify right side
    96,412x = 40,046,013,225
  5. Step 5: Solve for x
    x = 40,046,013,225/96,412
  6. Step 6: Final answer
    x = 415,363.37

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.