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Finding the Third Proportional to 101,695.50 and 150,467.31

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Solution

The third proportional to 101,695.50 and 150,467.31 is: 222,629.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,695.50 : 150,467.31 = 150,467.31 : x
  2. Step 2: Convert to fraction form
    101,695.50/150,467.31 = 150,467.31/x
  3. Step 3: Cross multiply
    101,695.50x = 150,467.31 × 150,467.31
  4. Step 4: Simplify right side
    101,695.50x = 22,640,410,955.45
  5. Step 5: Solve for x
    x = 22,640,410,955.45/101,695.50
  6. Step 6: Final answer
    x = 222,629.43

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.