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Finding the Third Proportional to 49,696.88 and 107,861.63

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Solution

The third proportional to 49,696.88 and 107,861.63 is: 234,101.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,696.88 : 107,861.63 = 107,861.63 : x
  2. Step 2: Convert to fraction form
    49,696.88/107,861.63 = 107,861.63/x
  3. Step 3: Cross multiply
    49,696.88x = 107,861.63 × 107,861.63
  4. Step 4: Simplify right side
    49,696.88x = 11,634,130,147.64
  5. Step 5: Solve for x
    x = 11,634,130,147.64/49,696.88
  6. Step 6: Final answer
    x = 234,101.85

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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.