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Finding the Third Proportional to 109,599.75 and 227,814.75

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Solution

The third proportional to 109,599.75 and 227,814.75 is: 473,537.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,599.75 : 227,814.75 = 227,814.75 : x
  2. Step 2: Convert to fraction form
    109,599.75/227,814.75 = 227,814.75/x
  3. Step 3: Cross multiply
    109,599.75x = 227,814.75 × 227,814.75
  4. Step 4: Simplify right side
    109,599.75x = 51,899,560,317.56
  5. Step 5: Solve for x
    x = 51,899,560,317.56/109,599.75
  6. Step 6: Final answer
    x = 473,537.21

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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.