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Finding the Third Proportional to 109,647.75 and 227,914.13

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Solution

The third proportional to 109,647.75 and 227,914.13 is: 473,742.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,647.75 : 227,914.13 = 227,914.13 : x
  2. Step 2: Convert to fraction form
    109,647.75/227,914.13 = 227,914.13/x
  3. Step 3: Cross multiply
    109,647.75x = 227,914.13 × 227,914.13
  4. Step 4: Simplify right side
    109,647.75x = 51,944,848,374.52
  5. Step 5: Solve for x
    x = 51,944,848,374.52/109,647.75
  6. Step 6: Final answer
    x = 473,742.95

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.