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Finding the Third Proportional to 50,337 and 107,916.75

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Solution

The third proportional to 50,337 and 107,916.75 is: 231,361.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,337 : 107,916.75 = 107,916.75 : x
  2. Step 2: Convert to fraction form
    50,337/107,916.75 = 107,916.75/x
  3. Step 3: Cross multiply
    50,337x = 107,916.75 × 107,916.75
  4. Step 4: Simplify right side
    50,337x = 11,646,024,930.56
  5. Step 5: Solve for x
    x = 11,646,024,930.56/50,337
  6. Step 6: Final answer
    x = 231,361.12

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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.