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Finding the Third Proportional to 92,276 and 201,227

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Solution

The third proportional to 92,276 and 201,227 is: 438,817.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,276 : 201,227 = 201,227 : x
  2. Step 2: Convert to fraction form
    92,276/201,227 = 201,227/x
  3. Step 3: Cross multiply
    92,276x = 201,227 × 201,227
  4. Step 4: Simplify right side
    92,276x = 40,492,305,529
  5. Step 5: Solve for x
    x = 40,492,305,529/92,276
  6. Step 6: Final answer
    x = 438,817.30

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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.