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Finding the Third Proportional to 135,676 and 199,451.50

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Solution

The third proportional to 135,676 and 199,451.50 is: 293,205.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,676 : 199,451.50 = 199,451.50 : x
  2. Step 2: Convert to fraction form
    135,676/199,451.50 = 199,451.50/x
  3. Step 3: Cross multiply
    135,676x = 199,451.50 × 199,451.50
  4. Step 4: Simplify right side
    135,676x = 39,780,900,852.25
  5. Step 5: Solve for x
    x = 39,780,900,852.25/135,676
  6. Step 6: Final answer
    x = 293,205.14

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.