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Finding the Third Proportional to 98,227 and 212,105

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Solution

The third proportional to 98,227 and 212,105 is: 458,005.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,227 : 212,105 = 212,105 : x
  2. Step 2: Convert to fraction form
    98,227/212,105 = 212,105/x
  3. Step 3: Cross multiply
    98,227x = 212,105 × 212,105
  4. Step 4: Simplify right side
    98,227x = 44,988,531,025
  5. Step 5: Solve for x
    x = 44,988,531,025/98,227
  6. Step 6: Final answer
    x = 458,005.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.