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Finding the Third Proportional to 92,405.25 and 202,083.75

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Solution

The third proportional to 92,405.25 and 202,083.75 is: 441,942.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,405.25 : 202,083.75 = 202,083.75 : x
  2. Step 2: Convert to fraction form
    92,405.25/202,083.75 = 202,083.75/x
  3. Step 3: Cross multiply
    92,405.25x = 202,083.75 × 202,083.75
  4. Step 4: Simplify right side
    92,405.25x = 40,837,842,014.06
  5. Step 5: Solve for x
    x = 40,837,842,014.06/92,405.25
  6. Step 6: Final answer
    x = 441,942.88

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.