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Finding the Third Proportional to 84,153.94 and 181,019.81

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Solution

The third proportional to 84,153.94 and 181,019.81 is: 389,383.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,153.94 : 181,019.81 = 181,019.81 : x
  2. Step 2: Convert to fraction form
    84,153.94/181,019.81 = 181,019.81/x
  3. Step 3: Cross multiply
    84,153.94x = 181,019.81 × 181,019.81
  4. Step 4: Simplify right side
    84,153.94x = 32,768,172,517.54
  5. Step 5: Solve for x
    x = 32,768,172,517.54/84,153.94
  6. Step 6: Final answer
    x = 389,383.71

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.