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Finding the Third Proportional to 98,193 and 212,049

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Solution

The third proportional to 98,193 and 212,049 is: 457,922.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,193 : 212,049 = 212,049 : x
  2. Step 2: Convert to fraction form
    98,193/212,049 = 212,049/x
  3. Step 3: Cross multiply
    98,193x = 212,049 × 212,049
  4. Step 4: Simplify right side
    98,193x = 44,964,778,401
  5. Step 5: Solve for x
    x = 44,964,778,401/98,193
  6. Step 6: Final answer
    x = 457,922.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.