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Finding the Third Proportional to 104,847.86 and 227,456.54

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Solution

The third proportional to 104,847.86 and 227,456.54 is: 493,443.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,847.86 : 227,456.54 = 227,456.54 : x
  2. Step 2: Convert to fraction form
    104,847.86/227,456.54 = 227,456.54/x
  3. Step 3: Cross multiply
    104,847.86x = 227,456.54 × 227,456.54
  4. Step 4: Simplify right side
    104,847.86x = 51,736,478,939.29
  5. Step 5: Solve for x
    x = 51,736,478,939.29/104,847.86
  6. Step 6: Final answer
    x = 493,443.37

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.