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Finding the Third Proportional to 46,212.75 and 94,610.81

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Solution

The third proportional to 46,212.75 and 94,610.81 is: 193,695.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,212.75 : 94,610.81 = 94,610.81 : x
  2. Step 2: Convert to fraction form
    46,212.75/94,610.81 = 94,610.81/x
  3. Step 3: Cross multiply
    46,212.75x = 94,610.81 × 94,610.81
  4. Step 4: Simplify right side
    46,212.75x = 8,951,205,841.91
  5. Step 5: Solve for x
    x = 8,951,205,841.91/46,212.75
  6. Step 6: Final answer
    x = 193,695.59

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.