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Finding the Third Proportional to 50,489.44 and 109,337.06

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Solution

The third proportional to 50,489.44 and 109,337.06 is: 236,774.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,489.44 : 109,337.06 = 109,337.06 : x
  2. Step 2: Convert to fraction form
    50,489.44/109,337.06 = 109,337.06/x
  3. Step 3: Cross multiply
    50,489.44x = 109,337.06 × 109,337.06
  4. Step 4: Simplify right side
    50,489.44x = 11,954,593,236.13
  5. Step 5: Solve for x
    x = 11,954,593,236.13/50,489.44
  6. Step 6: Final answer
    x = 236,774.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.