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Finding the Third Proportional to 98,584 and 211,912

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Solution

The third proportional to 98,584 and 211,912 is: 455,517.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,584 : 211,912 = 211,912 : x
  2. Step 2: Convert to fraction form
    98,584/211,912 = 211,912/x
  3. Step 3: Cross multiply
    98,584x = 211,912 × 211,912
  4. Step 4: Simplify right side
    98,584x = 44,906,695,744
  5. Step 5: Solve for x
    x = 44,906,695,744/98,584
  6. Step 6: Final answer
    x = 455,517.08

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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.