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Finding the Third Proportional to 50,108.63 and 107,993.25

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Solution

The third proportional to 50,108.63 and 107,993.25 is: 232,745.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,108.63 : 107,993.25 = 107,993.25 : x
  2. Step 2: Convert to fraction form
    50,108.63/107,993.25 = 107,993.25/x
  3. Step 3: Cross multiply
    50,108.63x = 107,993.25 × 107,993.25
  4. Step 4: Simplify right side
    50,108.63x = 11,662,542,045.56
  5. Step 5: Solve for x
    x = 11,662,542,045.56/50,108.63
  6. Step 6: Final answer
    x = 232,745.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.