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Finding the Third Proportional to 96,818 and 212,728

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Solution

The third proportional to 96,818 and 212,728 is: 467,404.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,818 : 212,728 = 212,728 : x
  2. Step 2: Convert to fraction form
    96,818/212,728 = 212,728/x
  3. Step 3: Cross multiply
    96,818x = 212,728 × 212,728
  4. Step 4: Simplify right side
    96,818x = 45,253,201,984
  5. Step 5: Solve for x
    x = 45,253,201,984/96,818
  6. Step 6: Final answer
    x = 467,404.84

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.