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Finding the Third Proportional to 98,468 and 200,550.50

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Solution

The third proportional to 98,468 and 200,550.50 is: 408,462.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,468 : 200,550.50 = 200,550.50 : x
  2. Step 2: Convert to fraction form
    98,468/200,550.50 = 200,550.50/x
  3. Step 3: Cross multiply
    98,468x = 200,550.50 × 200,550.50
  4. Step 4: Simplify right side
    98,468x = 40,220,503,050.25
  5. Step 5: Solve for x
    x = 40,220,503,050.25/98,468
  6. Step 6: Final answer
    x = 408,462.68

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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.