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Finding the Third Proportional to 98,165 and 211,999

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Solution

The third proportional to 98,165 and 211,999 is: 457,837.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,165 : 211,999 = 211,999 : x
  2. Step 2: Convert to fraction form
    98,165/211,999 = 211,999/x
  3. Step 3: Cross multiply
    98,165x = 211,999 × 211,999
  4. Step 4: Simplify right side
    98,165x = 44,943,576,001
  5. Step 5: Solve for x
    x = 44,943,576,001/98,165
  6. Step 6: Final answer
    x = 457,837.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.