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Finding the Third Proportional to 92,907 and 197,802

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Solution

The third proportional to 92,907 and 197,802 is: 421,126.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,907 : 197,802 = 197,802 : x
  2. Step 2: Convert to fraction form
    92,907/197,802 = 197,802/x
  3. Step 3: Cross multiply
    92,907x = 197,802 × 197,802
  4. Step 4: Simplify right side
    92,907x = 39,125,631,204
  5. Step 5: Solve for x
    x = 39,125,631,204/92,907
  6. Step 6: Final answer
    x = 421,126.84

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.