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Finding the Third Proportional to 97,689 and 206,799

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Solution

The third proportional to 97,689 and 206,799 is: 437,775.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,689 : 206,799 = 206,799 : x
  2. Step 2: Convert to fraction form
    97,689/206,799 = 206,799/x
  3. Step 3: Cross multiply
    97,689x = 206,799 × 206,799
  4. Step 4: Simplify right side
    97,689x = 42,765,826,401
  5. Step 5: Solve for x
    x = 42,765,826,401/97,689
  6. Step 6: Final answer
    x = 437,775.25

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.