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Finding the Third Proportional to 140,950.13 and 218,586.09

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Solution

The third proportional to 140,950.13 and 218,586.09 is: 338,984.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,950.13 : 218,586.09 = 218,586.09 : x
  2. Step 2: Convert to fraction form
    140,950.13/218,586.09 = 218,586.09/x
  3. Step 3: Cross multiply
    140,950.13x = 218,586.09 × 218,586.09
  4. Step 4: Simplify right side
    140,950.13x = 47,779,880,380.88
  5. Step 5: Solve for x
    x = 47,779,880,380.88/140,950.13
  6. Step 6: Final answer
    x = 338,984.31

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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.