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Finding the Third Proportional to 46,033.50 and 100,850.50

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Solution

The third proportional to 46,033.50 and 100,850.50 is: 220,943.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,033.50 : 100,850.50 = 100,850.50 : x
  2. Step 2: Convert to fraction form
    46,033.50/100,850.50 = 100,850.50/x
  3. Step 3: Cross multiply
    46,033.50x = 100,850.50 × 100,850.50
  4. Step 4: Simplify right side
    46,033.50x = 10,170,823,350.25
  5. Step 5: Solve for x
    x = 10,170,823,350.25/46,033.50
  6. Step 6: Final answer
    x = 220,943.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.