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Finding the Third Proportional to 108,114.50 and 232,214

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Solution

The third proportional to 108,114.50 and 232,214 is: 498,761.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,114.50 : 232,214 = 232,214 : x
  2. Step 2: Convert to fraction form
    108,114.50/232,214 = 232,214/x
  3. Step 3: Cross multiply
    108,114.50x = 232,214 × 232,214
  4. Step 4: Simplify right side
    108,114.50x = 53,923,341,796
  5. Step 5: Solve for x
    x = 53,923,341,796/108,114.50
  6. Step 6: Final answer
    x = 498,761.42

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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.