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Finding the Third Proportional to 108,216 and 236,116

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Solution

The third proportional to 108,216 and 236,116 is: 515,180.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,216 : 236,116 = 236,116 : x
  2. Step 2: Convert to fraction form
    108,216/236,116 = 236,116/x
  3. Step 3: Cross multiply
    108,216x = 236,116 × 236,116
  4. Step 4: Simplify right side
    108,216x = 55,750,765,456
  5. Step 5: Solve for x
    x = 55,750,765,456/108,216
  6. Step 6: Final answer
    x = 515,180.43

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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.