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Finding the Third Proportional to 47,438.50 and 101,912

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Solution

The third proportional to 47,438.50 and 101,912 is: 218,937.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,438.50 : 101,912 = 101,912 : x
  2. Step 2: Convert to fraction form
    47,438.50/101,912 = 101,912/x
  3. Step 3: Cross multiply
    47,438.50x = 101,912 × 101,912
  4. Step 4: Simplify right side
    47,438.50x = 10,386,055,744
  5. Step 5: Solve for x
    x = 10,386,055,744/47,438.50
  6. Step 6: Final answer
    x = 218,937.27

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.