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Finding the Third Proportional to 98,396.53 and 203,794.41

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Solution

The third proportional to 98,396.53 and 203,794.41 is: 422,089.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,396.53 : 203,794.41 = 203,794.41 : x
  2. Step 2: Convert to fraction form
    98,396.53/203,794.41 = 203,794.41/x
  3. Step 3: Cross multiply
    98,396.53x = 203,794.41 × 203,794.41
  4. Step 4: Simplify right side
    98,396.53x = 41,532,160,018.79
  5. Step 5: Solve for x
    x = 41,532,160,018.79/98,396.53
  6. Step 6: Final answer
    x = 422,089.68

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.