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Finding the Third Proportional to 50,986.88 and 109,354.69

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Solution

The third proportional to 50,986.88 and 109,354.69 is: 234,539.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,986.88 : 109,354.69 = 109,354.69 : x
  2. Step 2: Convert to fraction form
    50,986.88/109,354.69 = 109,354.69/x
  3. Step 3: Cross multiply
    50,986.88x = 109,354.69 × 109,354.69
  4. Step 4: Simplify right side
    50,986.88x = 11,958,447,678.22
  5. Step 5: Solve for x
    x = 11,958,447,678.22/50,986.88
  6. Step 6: Final answer
    x = 234,539.73

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.