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Finding the Third Proportional to 129,612 and 196,228.50

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Solution

The third proportional to 129,612 and 196,228.50 is: 297,083.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,612 : 196,228.50 = 196,228.50 : x
  2. Step 2: Convert to fraction form
    129,612/196,228.50 = 196,228.50/x
  3. Step 3: Cross multiply
    129,612x = 196,228.50 × 196,228.50
  4. Step 4: Simplify right side
    129,612x = 38,505,624,212.25
  5. Step 5: Solve for x
    x = 38,505,624,212.25/129,612
  6. Step 6: Final answer
    x = 297,083.79

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.