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Finding the Third Proportional to 98,063 and 211,675

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Solution

The third proportional to 98,063 and 211,675 is: 456,913.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,063 : 211,675 = 211,675 : x
  2. Step 2: Convert to fraction form
    98,063/211,675 = 211,675/x
  3. Step 3: Cross multiply
    98,063x = 211,675 × 211,675
  4. Step 4: Simplify right side
    98,063x = 44,806,305,625
  5. Step 5: Solve for x
    x = 44,806,305,625/98,063
  6. Step 6: Final answer
    x = 456,913.47

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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.