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Finding the Third Proportional to 92,181 and 201,048

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Solution

The third proportional to 92,181 and 201,048 is: 438,488.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,181 : 201,048 = 201,048 : x
  2. Step 2: Convert to fraction form
    92,181/201,048 = 201,048/x
  3. Step 3: Cross multiply
    92,181x = 201,048 × 201,048
  4. Step 4: Simplify right side
    92,181x = 40,420,298,304
  5. Step 5: Solve for x
    x = 40,420,298,304/92,181
  6. Step 6: Final answer
    x = 438,488.39

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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.