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Finding the Third Proportional to 46,163.81 and 100,416.38

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Solution

The third proportional to 46,163.81 and 100,416.38 is: 218,427.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,163.81 : 100,416.38 = 100,416.38 : x
  2. Step 2: Convert to fraction form
    46,163.81/100,416.38 = 100,416.38/x
  3. Step 3: Cross multiply
    46,163.81x = 100,416.38 × 100,416.38
  4. Step 4: Simplify right side
    46,163.81x = 10,083,448,368.14
  5. Step 5: Solve for x
    x = 10,083,448,368.14/46,163.81
  6. Step 6: Final answer
    x = 218,427.55

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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.