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Finding the Third Proportional to 50,351.63 and 111,181.36

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Solution

The third proportional to 50,351.63 and 111,181.36 is: 245,499.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,351.63 : 111,181.36 = 111,181.36 : x
  2. Step 2: Convert to fraction form
    50,351.63/111,181.36 = 111,181.36/x
  3. Step 3: Cross multiply
    50,351.63x = 111,181.36 × 111,181.36
  4. Step 4: Simplify right side
    50,351.63x = 12,361,294,672.47
  5. Step 5: Solve for x
    x = 12,361,294,672.47/50,351.63
  6. Step 6: Final answer
    x = 245,499.42

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.