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Finding the Third Proportional to 110,170.13 and 236,947.78

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Solution

The third proportional to 110,170.13 and 236,947.78 is: 509,614.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,170.13 : 236,947.78 = 236,947.78 : x
  2. Step 2: Convert to fraction form
    110,170.13/236,947.78 = 236,947.78/x
  3. Step 3: Cross multiply
    110,170.13x = 236,947.78 × 236,947.78
  4. Step 4: Simplify right side
    110,170.13x = 56,144,251,039.30
  5. Step 5: Solve for x
    x = 56,144,251,039.30/110,170.13
  6. Step 6: Final answer
    x = 509,614.12

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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.