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Finding the Third Proportional to 92,717 and 203,476

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Solution

The third proportional to 92,717 and 203,476 is: 446,546.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,717 : 203,476 = 203,476 : x
  2. Step 2: Convert to fraction form
    92,717/203,476 = 203,476/x
  3. Step 3: Cross multiply
    92,717x = 203,476 × 203,476
  4. Step 4: Simplify right side
    92,717x = 41,402,482,576
  5. Step 5: Solve for x
    x = 41,402,482,576/92,717
  6. Step 6: Final answer
    x = 446,546.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.