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Finding the Third Proportional to 92,717 and 202,930

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Solution

The third proportional to 92,717 and 202,930 is: 444,153.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,717 : 202,930 = 202,930 : x
  2. Step 2: Convert to fraction form
    92,717/202,930 = 202,930/x
  3. Step 3: Cross multiply
    92,717x = 202,930 × 202,930
  4. Step 4: Simplify right side
    92,717x = 41,180,584,900
  5. Step 5: Solve for x
    x = 41,180,584,900/92,717
  6. Step 6: Final answer
    x = 444,153.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.