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Finding the Third Proportional to 98,682 and 217,048

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Solution

The third proportional to 98,682 and 217,048 is: 477,390.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,682 : 217,048 = 217,048 : x
  2. Step 2: Convert to fraction form
    98,682/217,048 = 217,048/x
  3. Step 3: Cross multiply
    98,682x = 217,048 × 217,048
  4. Step 4: Simplify right side
    98,682x = 47,109,834,304
  5. Step 5: Solve for x
    x = 47,109,834,304/98,682
  6. Step 6: Final answer
    x = 477,390.35

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.