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Finding the Third Proportional to 138,099.94 and 202,616.44

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Solution

The third proportional to 138,099.94 and 202,616.44 is: 297,273.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,099.94 : 202,616.44 = 202,616.44 : x
  2. Step 2: Convert to fraction form
    138,099.94/202,616.44 = 202,616.44/x
  3. Step 3: Cross multiply
    138,099.94x = 202,616.44 × 202,616.44
  4. Step 4: Simplify right side
    138,099.94x = 41,053,420,745.19
  5. Step 5: Solve for x
    x = 41,053,420,745.19/138,099.94
  6. Step 6: Final answer
    x = 297,273.28

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.