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Finding the Third Proportional to 43,372.31 and 100,399.50

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Solution

The third proportional to 43,372.31 and 100,399.50 is: 232,407.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,372.31 : 100,399.50 = 100,399.50 : x
  2. Step 2: Convert to fraction form
    43,372.31/100,399.50 = 100,399.50/x
  3. Step 3: Cross multiply
    43,372.31x = 100,399.50 × 100,399.50
  4. Step 4: Simplify right side
    43,372.31x = 10,080,059,600.25
  5. Step 5: Solve for x
    x = 10,080,059,600.25/43,372.31
  6. Step 6: Final answer
    x = 232,407.70

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.