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Finding the Third Proportional to 140,777.63 and 218,163.75

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Solution

The third proportional to 140,777.63 and 218,163.75 is: 338,089.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,777.63 : 218,163.75 = 218,163.75 : x
  2. Step 2: Convert to fraction form
    140,777.63/218,163.75 = 218,163.75/x
  3. Step 3: Cross multiply
    140,777.63x = 218,163.75 × 218,163.75
  4. Step 4: Simplify right side
    140,777.63x = 47,595,421,814.06
  5. Step 5: Solve for x
    x = 47,595,421,814.06/140,777.63
  6. Step 6: Final answer
    x = 338,089.39

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.