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Finding the Third Proportional to 83,661.19 and 182,553.75

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Solution

The third proportional to 83,661.19 and 182,553.75 is: 398,343.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,661.19 : 182,553.75 = 182,553.75 : x
  2. Step 2: Convert to fraction form
    83,661.19/182,553.75 = 182,553.75/x
  3. Step 3: Cross multiply
    83,661.19x = 182,553.75 × 182,553.75
  4. Step 4: Simplify right side
    83,661.19x = 33,325,871,639.06
  5. Step 5: Solve for x
    x = 33,325,871,639.06/83,661.19
  6. Step 6: Final answer
    x = 398,343.28

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.