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Finding the Third Proportional to 138,639.94 and 283,847.63

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Solution

The third proportional to 138,639.94 and 283,847.63 is: 581,141.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,639.94 : 283,847.63 = 283,847.63 : x
  2. Step 2: Convert to fraction form
    138,639.94/283,847.63 = 283,847.63/x
  3. Step 3: Cross multiply
    138,639.94x = 283,847.63 × 283,847.63
  4. Step 4: Simplify right side
    138,639.94x = 80,569,474,218.14
  5. Step 5: Solve for x
    x = 80,569,474,218.14/138,639.94
  6. Step 6: Final answer
    x = 581,141.88

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.