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Finding the Third Proportional to 46,344.94 and 101,184.75

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Solution

The third proportional to 46,344.94 and 101,184.75 is: 220,916.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,344.94 : 101,184.75 = 101,184.75 : x
  2. Step 2: Convert to fraction form
    46,344.94/101,184.75 = 101,184.75/x
  3. Step 3: Cross multiply
    46,344.94x = 101,184.75 × 101,184.75
  4. Step 4: Simplify right side
    46,344.94x = 10,238,353,632.56
  5. Step 5: Solve for x
    x = 10,238,353,632.56/46,344.94
  6. Step 6: Final answer
    x = 220,916.33

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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.