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Finding the Third Proportional to 101,944.69 and 239,856.19

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Solution

The third proportional to 101,944.69 and 239,856.19 is: 564,335.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,944.69 : 239,856.19 = 239,856.19 : x
  2. Step 2: Convert to fraction form
    101,944.69/239,856.19 = 239,856.19/x
  3. Step 3: Cross multiply
    101,944.69x = 239,856.19 × 239,856.19
  4. Step 4: Simplify right side
    101,944.69x = 57,530,990,682.04
  5. Step 5: Solve for x
    x = 57,530,990,682.04/101,944.69
  6. Step 6: Final answer
    x = 564,335.35

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.