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Finding the Third Proportional to 98,797 and 212,599

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Solution

The third proportional to 98,797 and 212,599 is: 457,486.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,797 : 212,599 = 212,599 : x
  2. Step 2: Convert to fraction form
    98,797/212,599 = 212,599/x
  3. Step 3: Cross multiply
    98,797x = 212,599 × 212,599
  4. Step 4: Simplify right side
    98,797x = 45,198,334,801
  5. Step 5: Solve for x
    x = 45,198,334,801/98,797
  6. Step 6: Final answer
    x = 457,486.92

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.