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Finding the Third Proportional to 50,305.50 and 103,851

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Solution

The third proportional to 50,305.50 and 103,851 is: 214,390.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,305.50 : 103,851 = 103,851 : x
  2. Step 2: Convert to fraction form
    50,305.50/103,851 = 103,851/x
  3. Step 3: Cross multiply
    50,305.50x = 103,851 × 103,851
  4. Step 4: Simplify right side
    50,305.50x = 10,785,030,201
  5. Step 5: Solve for x
    x = 10,785,030,201/50,305.50
  6. Step 6: Final answer
    x = 214,390.68

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.