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Finding the Third Proportional to 108,227 and 147,436

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Solution

The third proportional to 108,227 and 147,436 is: 200,849.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,227 : 147,436 = 147,436 : x
  2. Step 2: Convert to fraction form
    108,227/147,436 = 147,436/x
  3. Step 3: Cross multiply
    108,227x = 147,436 × 147,436
  4. Step 4: Simplify right side
    108,227x = 21,737,374,096
  5. Step 5: Solve for x
    x = 21,737,374,096/108,227
  6. Step 6: Final answer
    x = 200,849.83

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.