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Finding the Third Proportional to 84,720.94 and 182,558.81

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Solution

The third proportional to 84,720.94 and 182,558.81 is: 393,382.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,720.94 : 182,558.81 = 182,558.81 : x
  2. Step 2: Convert to fraction form
    84,720.94/182,558.81 = 182,558.81/x
  3. Step 3: Cross multiply
    84,720.94x = 182,558.81 × 182,558.81
  4. Step 4: Simplify right side
    84,720.94x = 33,327,720,021.41
  5. Step 5: Solve for x
    x = 33,327,720,021.41/84,720.94
  6. Step 6: Final answer
    x = 393,382.33

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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.