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Finding the Third Proportional to 108,214 and 236,110

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Solution

The third proportional to 108,214 and 236,110 is: 515,163.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,214 : 236,110 = 236,110 : x
  2. Step 2: Convert to fraction form
    108,214/236,110 = 236,110/x
  3. Step 3: Cross multiply
    108,214x = 236,110 × 236,110
  4. Step 4: Simplify right side
    108,214x = 55,747,932,100
  5. Step 5: Solve for x
    x = 55,747,932,100/108,214
  6. Step 6: Final answer
    x = 515,163.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.