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Finding the Third Proportional to 98,441 and 201,033.25

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Solution

The third proportional to 98,441 and 201,033.25 is: 410,544.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,441 : 201,033.25 = 201,033.25 : x
  2. Step 2: Convert to fraction form
    98,441/201,033.25 = 201,033.25/x
  3. Step 3: Cross multiply
    98,441x = 201,033.25 × 201,033.25
  4. Step 4: Simplify right side
    98,441x = 40,414,367,605.56
  5. Step 5: Solve for x
    x = 40,414,367,605.56/98,441
  6. Step 6: Final answer
    x = 410,544.06

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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.