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Finding the Third Proportional to 50,468.06 and 100,313.44

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Solution

The third proportional to 50,468.06 and 100,313.44 is: 199,389.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,468.06 : 100,313.44 = 100,313.44 : x
  2. Step 2: Convert to fraction form
    50,468.06/100,313.44 = 100,313.44/x
  3. Step 3: Cross multiply
    50,468.06x = 100,313.44 × 100,313.44
  4. Step 4: Simplify right side
    50,468.06x = 10,062,785,743.07
  5. Step 5: Solve for x
    x = 10,062,785,743.07/50,468.06
  6. Step 6: Final answer
    x = 199,389.18

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Why These Related Problems?

These problems maintain the same ratio (1.99) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.