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Finding the Third Proportional to 98,436 and 210,876

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Solution

The third proportional to 98,436 and 210,876 is: 451,752.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,436 : 210,876 = 210,876 : x
  2. Step 2: Convert to fraction form
    98,436/210,876 = 210,876/x
  3. Step 3: Cross multiply
    98,436x = 210,876 × 210,876
  4. Step 4: Simplify right side
    98,436x = 44,468,687,376
  5. Step 5: Solve for x
    x = 44,468,687,376/98,436
  6. Step 6: Final answer
    x = 451,752.28

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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.