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Finding the Third Proportional to 99,476 and 203,552

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Solution

The third proportional to 99,476 and 203,552 is: 416,516.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,476 : 203,552 = 203,552 : x
  2. Step 2: Convert to fraction form
    99,476/203,552 = 203,552/x
  3. Step 3: Cross multiply
    99,476x = 203,552 × 203,552
  4. Step 4: Simplify right side
    99,476x = 41,433,416,704
  5. Step 5: Solve for x
    x = 41,433,416,704/99,476
  6. Step 6: Final answer
    x = 416,516.71

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.