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Finding the Third Proportional to 95,896.13 and 150,436.13

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Solution

The third proportional to 95,896.13 and 150,436.13 is: 235,995.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,896.13 : 150,436.13 = 150,436.13 : x
  2. Step 2: Convert to fraction form
    95,896.13/150,436.13 = 150,436.13/x
  3. Step 3: Cross multiply
    95,896.13x = 150,436.13 × 150,436.13
  4. Step 4: Simplify right side
    95,896.13x = 22,631,027,705.02
  5. Step 5: Solve for x
    x = 22,631,027,705.02/95,896.13
  6. Step 6: Final answer
    x = 235,995.23

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.