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Finding the Third Proportional to 49,999.13 and 105,618.75

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Solution

The third proportional to 49,999.13 and 105,618.75 is: 223,110.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,999.13 : 105,618.75 = 105,618.75 : x
  2. Step 2: Convert to fraction form
    49,999.13/105,618.75 = 105,618.75/x
  3. Step 3: Cross multiply
    49,999.13x = 105,618.75 × 105,618.75
  4. Step 4: Simplify right side
    49,999.13x = 11,155,320,351.56
  5. Step 5: Solve for x
    x = 11,155,320,351.56/49,999.13
  6. Step 6: Final answer
    x = 223,110.31

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.