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Finding the Third Proportional to 50,548.21 and 108,109.13

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Solution

The third proportional to 50,548.21 and 108,109.13 is: 231,216.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,548.21 : 108,109.13 = 108,109.13 : x
  2. Step 2: Convert to fraction form
    50,548.21/108,109.13 = 108,109.13/x
  3. Step 3: Cross multiply
    50,548.21x = 108,109.13 × 108,109.13
  4. Step 4: Simplify right side
    50,548.21x = 11,687,584,808.62
  5. Step 5: Solve for x
    x = 11,687,584,808.62/50,548.21
  6. Step 6: Final answer
    x = 231,216.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.