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Finding the Third Proportional to 98,399 and 203,800

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Solution

The third proportional to 98,399 and 203,800 is: 422,102.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,399 : 203,800 = 203,800 : x
  2. Step 2: Convert to fraction form
    98,399/203,800 = 203,800/x
  3. Step 3: Cross multiply
    98,399x = 203,800 × 203,800
  4. Step 4: Simplify right side
    98,399x = 41,534,440,000
  5. Step 5: Solve for x
    x = 41,534,440,000/98,399
  6. Step 6: Final answer
    x = 422,102.26

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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.