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Finding the Third Proportional to 46,892.25 and 108,462.38

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Solution

The third proportional to 46,892.25 and 108,462.38 is: 250,874.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,892.25 : 108,462.38 = 108,462.38 : x
  2. Step 2: Convert to fraction form
    46,892.25/108,462.38 = 108,462.38/x
  3. Step 3: Cross multiply
    46,892.25x = 108,462.38 × 108,462.38
  4. Step 4: Simplify right side
    46,892.25x = 11,764,086,790.64
  5. Step 5: Solve for x
    x = 11,764,086,790.64/46,892.25
  6. Step 6: Final answer
    x = 250,874.86

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.