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Finding the Third Proportional to 98,062 and 211,676

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Solution

The third proportional to 98,062 and 211,676 is: 456,922.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,062 : 211,676 = 211,676 : x
  2. Step 2: Convert to fraction form
    98,062/211,676 = 211,676/x
  3. Step 3: Cross multiply
    98,062x = 211,676 × 211,676
  4. Step 4: Simplify right side
    98,062x = 44,806,728,976
  5. Step 5: Solve for x
    x = 44,806,728,976/98,062
  6. Step 6: Final answer
    x = 456,922.45

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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.