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Finding the Third Proportional to 107,998.31 and 235,649.25

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Solution

The third proportional to 107,998.31 and 235,649.25 is: 514,179.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,998.31 : 235,649.25 = 235,649.25 : x
  2. Step 2: Convert to fraction form
    107,998.31/235,649.25 = 235,649.25/x
  3. Step 3: Cross multiply
    107,998.31x = 235,649.25 × 235,649.25
  4. Step 4: Simplify right side
    107,998.31x = 55,530,569,025.56
  5. Step 5: Solve for x
    x = 55,530,569,025.56/107,998.31
  6. Step 6: Final answer
    x = 514,179.97

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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.