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Finding the Third Proportional to 41,285.25 and 90,481.50

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Solution

The third proportional to 41,285.25 and 90,481.50 is: 198,300.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,285.25 : 90,481.50 = 90,481.50 : x
  2. Step 2: Convert to fraction form
    41,285.25/90,481.50 = 90,481.50/x
  3. Step 3: Cross multiply
    41,285.25x = 90,481.50 × 90,481.50
  4. Step 4: Simplify right side
    41,285.25x = 8,186,901,842.25
  5. Step 5: Solve for x
    x = 8,186,901,842.25/41,285.25
  6. Step 6: Final answer
    x = 198,300.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.