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Finding the Third Proportional to 50,619.94 and 103,561.03

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Solution

The third proportional to 50,619.94 and 103,561.03 is: 211,870.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,619.94 : 103,561.03 = 103,561.03 : x
  2. Step 2: Convert to fraction form
    50,619.94/103,561.03 = 103,561.03/x
  3. Step 3: Cross multiply
    50,619.94x = 103,561.03 × 103,561.03
  4. Step 4: Simplify right side
    50,619.94x = 10,724,887,193.56
  5. Step 5: Solve for x
    x = 10,724,887,193.56/50,619.94
  6. Step 6: Final answer
    x = 211,870.81

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.