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Finding the Third Proportional to 49,420.55 and 105,991.73

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Solution

The third proportional to 49,420.55 and 105,991.73 is: 227,319.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,420.55 : 105,991.73 = 105,991.73 : x
  2. Step 2: Convert to fraction form
    49,420.55/105,991.73 = 105,991.73/x
  3. Step 3: Cross multiply
    49,420.55x = 105,991.73 × 105,991.73
  4. Step 4: Simplify right side
    49,420.55x = 11,234,247,755.82
  5. Step 5: Solve for x
    x = 11,234,247,755.82/49,420.55
  6. Step 6: Final answer
    x = 227,319.37

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.