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Finding the Third Proportional to 98,406 and 203,814

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Solution

The third proportional to 98,406 and 203,814 is: 422,130.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,406 : 203,814 = 203,814 : x
  2. Step 2: Convert to fraction form
    98,406/203,814 = 203,814/x
  3. Step 3: Cross multiply
    98,406x = 203,814 × 203,814
  4. Step 4: Simplify right side
    98,406x = 41,540,146,596
  5. Step 5: Solve for x
    x = 41,540,146,596/98,406
  6. Step 6: Final answer
    x = 422,130.22

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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.