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Finding the Third Proportional to 98,002 and 212,600

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Solution

The third proportional to 98,002 and 212,600 is: 461,202.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,002 : 212,600 = 212,600 : x
  2. Step 2: Convert to fraction form
    98,002/212,600 = 212,600/x
  3. Step 3: Cross multiply
    98,002x = 212,600 × 212,600
  4. Step 4: Simplify right side
    98,002x = 45,198,760,000
  5. Step 5: Solve for x
    x = 45,198,760,000/98,002
  6. Step 6: Final answer
    x = 461,202.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.