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Finding the Third Proportional to 108,459 and 222,203.25

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Solution

The third proportional to 108,459 and 222,203.25 is: 455,234.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,459 : 222,203.25 = 222,203.25 : x
  2. Step 2: Convert to fraction form
    108,459/222,203.25 = 222,203.25/x
  3. Step 3: Cross multiply
    108,459x = 222,203.25 × 222,203.25
  4. Step 4: Simplify right side
    108,459x = 49,374,284,310.56
  5. Step 5: Solve for x
    x = 49,374,284,310.56/108,459
  6. Step 6: Final answer
    x = 455,234.55

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.