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Finding the Third Proportional to 96,476 and 200,227

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Solution

The third proportional to 96,476 and 200,227 is: 415,552.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,476 : 200,227 = 200,227 : x
  2. Step 2: Convert to fraction form
    96,476/200,227 = 200,227/x
  3. Step 3: Cross multiply
    96,476x = 200,227 × 200,227
  4. Step 4: Simplify right side
    96,476x = 40,090,851,529
  5. Step 5: Solve for x
    x = 40,090,851,529/96,476
  6. Step 6: Final answer
    x = 415,552.59

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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.