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Finding the Third Proportional to 99,843 and 214,908.75

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Solution

The third proportional to 99,843 and 214,908.75 is: 462,583.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,843 : 214,908.75 = 214,908.75 : x
  2. Step 2: Convert to fraction form
    99,843/214,908.75 = 214,908.75/x
  3. Step 3: Cross multiply
    99,843x = 214,908.75 × 214,908.75
  4. Step 4: Simplify right side
    99,843x = 46,185,770,826.56
  5. Step 5: Solve for x
    x = 46,185,770,826.56/99,843
  6. Step 6: Final answer
    x = 462,583.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.