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Finding the Third Proportional to 98,433.75 and 214,910.25

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Solution

The third proportional to 98,433.75 and 214,910.25 is: 469,213.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,433.75 : 214,910.25 = 214,910.25 : x
  2. Step 2: Convert to fraction form
    98,433.75/214,910.25 = 214,910.25/x
  3. Step 3: Cross multiply
    98,433.75x = 214,910.25 × 214,910.25
  4. Step 4: Simplify right side
    98,433.75x = 46,186,415,555.06
  5. Step 5: Solve for x
    x = 46,186,415,555.06/98,433.75
  6. Step 6: Final answer
    x = 469,213.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.