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Finding the Third Proportional to 108,016 and 232,160

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Solution

The third proportional to 108,016 and 232,160 is: 498,984.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,016 : 232,160 = 232,160 : x
  2. Step 2: Convert to fraction form
    108,016/232,160 = 232,160/x
  3. Step 3: Cross multiply
    108,016x = 232,160 × 232,160
  4. Step 4: Simplify right side
    108,016x = 53,898,265,600
  5. Step 5: Solve for x
    x = 53,898,265,600/108,016
  6. Step 6: Final answer
    x = 498,984.09

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.