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Finding the Third Proportional to 50,187.09 and 107,618.63

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Solution

The third proportional to 50,187.09 and 107,618.63 is: 230,771.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,187.09 : 107,618.63 = 107,618.63 : x
  2. Step 2: Convert to fraction form
    50,187.09/107,618.63 = 107,618.63/x
  3. Step 3: Cross multiply
    50,187.09x = 107,618.63 × 107,618.63
  4. Step 4: Simplify right side
    50,187.09x = 11,581,768,446.89
  5. Step 5: Solve for x
    x = 11,581,768,446.89/50,187.09
  6. Step 6: Final answer
    x = 230,771.85

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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.