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Finding the Third Proportional to 100,033.50 and 214,761

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Solution

The third proportional to 100,033.50 and 214,761 is: 461,068.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,033.50 : 214,761 = 214,761 : x
  2. Step 2: Convert to fraction form
    100,033.50/214,761 = 214,761/x
  3. Step 3: Cross multiply
    100,033.50x = 214,761 × 214,761
  4. Step 4: Simplify right side
    100,033.50x = 46,122,287,121
  5. Step 5: Solve for x
    x = 46,122,287,121/100,033.50
  6. Step 6: Final answer
    x = 461,068.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.