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Finding the Third Proportional to 49,771.34 and 107,844.54

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Solution

The third proportional to 49,771.34 and 107,844.54 is: 233,677.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,771.34 : 107,844.54 = 107,844.54 : x
  2. Step 2: Convert to fraction form
    49,771.34/107,844.54 = 107,844.54/x
  3. Step 3: Cross multiply
    49,771.34x = 107,844.54 × 107,844.54
  4. Step 4: Simplify right side
    49,771.34x = 11,630,444,605.60
  5. Step 5: Solve for x
    x = 11,630,444,605.60/49,771.34
  6. Step 6: Final answer
    x = 233,677.57

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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.