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Finding the Third Proportional to 47,163.94 and 70,104.38

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Solution

The third proportional to 47,163.94 and 70,104.38 is: 104,202.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,163.94 : 70,104.38 = 70,104.38 : x
  2. Step 2: Convert to fraction form
    47,163.94/70,104.38 = 70,104.38/x
  3. Step 3: Cross multiply
    47,163.94x = 70,104.38 × 70,104.38
  4. Step 4: Simplify right side
    47,163.94x = 4,914,623,394.14
  5. Step 5: Solve for x
    x = 4,914,623,394.14/47,163.94
  6. Step 6: Final answer
    x = 104,202.99

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.