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Finding the Third Proportional to 98,405 and 203,812

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Solution

The third proportional to 98,405 and 203,812 is: 422,126.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,405 : 203,812 = 203,812 : x
  2. Step 2: Convert to fraction form
    98,405/203,812 = 203,812/x
  3. Step 3: Cross multiply
    98,405x = 203,812 × 203,812
  4. Step 4: Simplify right side
    98,405x = 41,539,331,344
  5. Step 5: Solve for x
    x = 41,539,331,344/98,405
  6. Step 6: Final answer
    x = 422,126.23

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.