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Finding the Third Proportional to 50,983.88 and 110,172.38

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Solution

The third proportional to 50,983.88 and 110,172.38 is: 238,074.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,983.88 : 110,172.38 = 110,172.38 : x
  2. Step 2: Convert to fraction form
    50,983.88/110,172.38 = 110,172.38/x
  3. Step 3: Cross multiply
    50,983.88x = 110,172.38 × 110,172.38
  4. Step 4: Simplify right side
    50,983.88x = 12,137,952,213.14
  5. Step 5: Solve for x
    x = 12,137,952,213.14/50,983.88
  6. Step 6: Final answer
    x = 238,074.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.