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Finding the Third Proportional to 98,181 and 205,110

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Solution

The third proportional to 98,181 and 205,110 is: 428,495.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,181 : 205,110 = 205,110 : x
  2. Step 2: Convert to fraction form
    98,181/205,110 = 205,110/x
  3. Step 3: Cross multiply
    98,181x = 205,110 × 205,110
  4. Step 4: Simplify right side
    98,181x = 42,070,112,100
  5. Step 5: Solve for x
    x = 42,070,112,100/98,181
  6. Step 6: Final answer
    x = 428,495.45

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.