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Finding the Third Proportional to 138,891.59 and 207,745.07

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Solution

The third proportional to 138,891.59 and 207,745.07 is: 310,731.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,891.59 : 207,745.07 = 207,745.07 : x
  2. Step 2: Convert to fraction form
    138,891.59/207,745.07 = 207,745.07/x
  3. Step 3: Cross multiply
    138,891.59x = 207,745.07 × 207,745.07
  4. Step 4: Simplify right side
    138,891.59x = 43,158,012,616.14
  5. Step 5: Solve for x
    x = 43,158,012,616.14/138,891.59
  6. Step 6: Final answer
    x = 310,731.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.