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Finding the Third Proportional to 101,879.50 and 223,928

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Solution

The third proportional to 101,879.50 and 223,928 is: 492,186.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,879.50 : 223,928 = 223,928 : x
  2. Step 2: Convert to fraction form
    101,879.50/223,928 = 223,928/x
  3. Step 3: Cross multiply
    101,879.50x = 223,928 × 223,928
  4. Step 4: Simplify right side
    101,879.50x = 50,143,749,184
  5. Step 5: Solve for x
    x = 50,143,749,184/101,879.50
  6. Step 6: Final answer
    x = 492,186.84

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.