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Finding the Third Proportional to 46,284.75 and 100,932.19

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Solution

The third proportional to 46,284.75 and 100,932.19 is: 220,100.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,284.75 : 100,932.19 = 100,932.19 : x
  2. Step 2: Convert to fraction form
    46,284.75/100,932.19 = 100,932.19/x
  3. Step 3: Cross multiply
    46,284.75x = 100,932.19 × 100,932.19
  4. Step 4: Simplify right side
    46,284.75x = 10,187,306,473.54
  5. Step 5: Solve for x
    x = 10,187,306,473.54/46,284.75
  6. Step 6: Final answer
    x = 220,100.71

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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.