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Finding the Third Proportional to 48,908.50 and 107,192.75

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Solution

The third proportional to 48,908.50 and 107,192.75 is: 234,934.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,908.50 : 107,192.75 = 107,192.75 : x
  2. Step 2: Convert to fraction form
    48,908.50/107,192.75 = 107,192.75/x
  3. Step 3: Cross multiply
    48,908.50x = 107,192.75 × 107,192.75
  4. Step 4: Simplify right side
    48,908.50x = 11,490,285,652.56
  5. Step 5: Solve for x
    x = 11,490,285,652.56/48,908.50
  6. Step 6: Final answer
    x = 234,934.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.