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Finding the Third Proportional to 43,285.50 and 90,033.50

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Solution

The third proportional to 43,285.50 and 90,033.50 is: 187,268.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,285.50 : 90,033.50 = 90,033.50 : x
  2. Step 2: Convert to fraction form
    43,285.50/90,033.50 = 90,033.50/x
  3. Step 3: Cross multiply
    43,285.50x = 90,033.50 × 90,033.50
  4. Step 4: Simplify right side
    43,285.50x = 8,106,031,122.25
  5. Step 5: Solve for x
    x = 8,106,031,122.25/43,285.50
  6. Step 6: Final answer
    x = 187,268.97

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.