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Finding the Third Proportional to 90,873 and 185,449.50

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Solution

The third proportional to 90,873 and 185,449.50 is: 378,456.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,873 : 185,449.50 = 185,449.50 : x
  2. Step 2: Convert to fraction form
    90,873/185,449.50 = 185,449.50/x
  3. Step 3: Cross multiply
    90,873x = 185,449.50 × 185,449.50
  4. Step 4: Simplify right side
    90,873x = 34,391,517,050.25
  5. Step 5: Solve for x
    x = 34,391,517,050.25/90,873
  6. Step 6: Final answer
    x = 378,456.93

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Why These Related Problems?

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