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Finding the Third Proportional to 92,682 and 202,353.75

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Solution

The third proportional to 92,682 and 202,353.75 is: 441,801.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,682 : 202,353.75 = 202,353.75 : x
  2. Step 2: Convert to fraction form
    92,682/202,353.75 = 202,353.75/x
  3. Step 3: Cross multiply
    92,682x = 202,353.75 × 202,353.75
  4. Step 4: Simplify right side
    92,682x = 40,947,040,139.06
  5. Step 5: Solve for x
    x = 40,947,040,139.06/92,682
  6. Step 6: Final answer
    x = 441,801.43

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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.