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Finding the Third Proportional to 96,476 and 206,797

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Solution

The third proportional to 96,476 and 206,797 is: 443,270.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,476 : 206,797 = 206,797 : x
  2. Step 2: Convert to fraction form
    96,476/206,797 = 206,797/x
  3. Step 3: Cross multiply
    96,476x = 206,797 × 206,797
  4. Step 4: Simplify right side
    96,476x = 42,764,999,209
  5. Step 5: Solve for x
    x = 42,764,999,209/96,476
  6. Step 6: Final answer
    x = 443,270.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.