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Finding the Third Proportional to 103,397.06 and 227,745.56

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Solution

The third proportional to 103,397.06 and 227,745.56 is: 501,639.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,397.06 : 227,745.56 = 227,745.56 : x
  2. Step 2: Convert to fraction form
    103,397.06/227,745.56 = 227,745.56/x
  3. Step 3: Cross multiply
    103,397.06x = 227,745.56 × 227,745.56
  4. Step 4: Simplify right side
    103,397.06x = 51,868,041,238.44
  5. Step 5: Solve for x
    x = 51,868,041,238.44/103,397.06
  6. Step 6: Final answer
    x = 501,639.41

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.