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Finding the Third Proportional to 98,159 and 203,608

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Solution

The third proportional to 98,159 and 203,608 is: 422,337.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,159 : 203,608 = 203,608 : x
  2. Step 2: Convert to fraction form
    98,159/203,608 = 203,608/x
  3. Step 3: Cross multiply
    98,159x = 203,608 × 203,608
  4. Step 4: Simplify right side
    98,159x = 41,456,217,664
  5. Step 5: Solve for x
    x = 41,456,217,664/98,159
  6. Step 6: Final answer
    x = 422,337.41

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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.