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Finding the Third Proportional to 48,203.44 and 103,806.56

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Solution

The third proportional to 48,203.44 and 103,806.56 is: 223,548.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,203.44 : 103,806.56 = 103,806.56 : x
  2. Step 2: Convert to fraction form
    48,203.44/103,806.56 = 103,806.56/x
  3. Step 3: Cross multiply
    48,203.44x = 103,806.56 × 103,806.56
  4. Step 4: Simplify right side
    48,203.44x = 10,775,802,418.07
  5. Step 5: Solve for x
    x = 10,775,802,418.07/48,203.44
  6. Step 6: Final answer
    x = 223,548.42

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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.