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Finding the Third Proportional to 98,104.61 and 200,369.64

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Solution

The third proportional to 98,104.61 and 200,369.64 is: 409,236.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,104.61 : 200,369.64 = 200,369.64 : x
  2. Step 2: Convert to fraction form
    98,104.61/200,369.64 = 200,369.64/x
  3. Step 3: Cross multiply
    98,104.61x = 200,369.64 × 200,369.64
  4. Step 4: Simplify right side
    98,104.61x = 40,147,991,318.80
  5. Step 5: Solve for x
    x = 40,147,991,318.80/98,104.61
  6. Step 6: Final answer
    x = 409,236.56

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.