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Finding the Third Proportional to 47,323.25 and 101,212.75

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Solution

The third proportional to 47,323.25 and 101,212.75 is: 216,469.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,323.25 : 101,212.75 = 101,212.75 : x
  2. Step 2: Convert to fraction form
    47,323.25/101,212.75 = 101,212.75/x
  3. Step 3: Cross multiply
    47,323.25x = 101,212.75 × 101,212.75
  4. Step 4: Simplify right side
    47,323.25x = 10,244,020,762.56
  5. Step 5: Solve for x
    x = 10,244,020,762.56/47,323.25
  6. Step 6: Final answer
    x = 216,469.09

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.