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Finding the Third Proportional to 89,429.50 and 196,508

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Solution

The third proportional to 89,429.50 and 196,508 is: 431,797.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,429.50 : 196,508 = 196,508 : x
  2. Step 2: Convert to fraction form
    89,429.50/196,508 = 196,508/x
  3. Step 3: Cross multiply
    89,429.50x = 196,508 × 196,508
  4. Step 4: Simplify right side
    89,429.50x = 38,615,394,064
  5. Step 5: Solve for x
    x = 38,615,394,064/89,429.50
  6. Step 6: Final answer
    x = 431,797.05

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.