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Finding the Third Proportional to 92,686 and 202,362

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Solution

The third proportional to 92,686 and 202,362 is: 441,818.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,686 : 202,362 = 202,362 : x
  2. Step 2: Convert to fraction form
    92,686/202,362 = 202,362/x
  3. Step 3: Cross multiply
    92,686x = 202,362 × 202,362
  4. Step 4: Simplify right side
    92,686x = 40,950,379,044
  5. Step 5: Solve for x
    x = 40,950,379,044/92,686
  6. Step 6: Final answer
    x = 441,818.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.