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Finding the Third Proportional to 50,373.56 and 105,917.63

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Solution

The third proportional to 50,373.56 and 105,917.63 is: 222,706.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,373.56 : 105,917.63 = 105,917.63 : x
  2. Step 2: Convert to fraction form
    50,373.56/105,917.63 = 105,917.63/x
  3. Step 3: Cross multiply
    50,373.56x = 105,917.63 × 105,917.63
  4. Step 4: Simplify right side
    50,373.56x = 11,218,543,285.64
  5. Step 5: Solve for x
    x = 11,218,543,285.64/50,373.56
  6. Step 6: Final answer
    x = 222,706.97

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.