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Finding the Third Proportional to 40,890.94 and 83,285.44

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Solution

The third proportional to 40,890.94 and 83,285.44 is: 169,633.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,890.94 : 83,285.44 = 83,285.44 : x
  2. Step 2: Convert to fraction form
    40,890.94/83,285.44 = 83,285.44/x
  3. Step 3: Cross multiply
    40,890.94x = 83,285.44 × 83,285.44
  4. Step 4: Simplify right side
    40,890.94x = 6,936,464,099.57
  5. Step 5: Solve for x
    x = 6,936,464,099.57/40,890.94
  6. Step 6: Final answer
    x = 169,633.29

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.