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Finding the Third Proportional to 109,361.81 and 227,453.34

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Solution

The third proportional to 109,361.81 and 227,453.34 is: 473,062.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,361.81 : 227,453.34 = 227,453.34 : x
  2. Step 2: Convert to fraction form
    109,361.81/227,453.34 = 227,453.34/x
  3. Step 3: Cross multiply
    109,361.81x = 227,453.34 × 227,453.34
  4. Step 4: Simplify right side
    109,361.81x = 51,735,023,583.06
  5. Step 5: Solve for x
    x = 51,735,023,583.06/109,361.81
  6. Step 6: Final answer
    x = 473,062.97

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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.