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Finding the Third Proportional to 96,192.75 and 212,094.38

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Solution

The third proportional to 96,192.75 and 212,094.38 is: 467,644.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,192.75 : 212,094.38 = 212,094.38 : x
  2. Step 2: Convert to fraction form
    96,192.75/212,094.38 = 212,094.38/x
  3. Step 3: Cross multiply
    96,192.75x = 212,094.38 × 212,094.38
  4. Step 4: Simplify right side
    96,192.75x = 44,984,023,906.64
  5. Step 5: Solve for x
    x = 44,984,023,906.64/96,192.75
  6. Step 6: Final answer
    x = 467,644.64

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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.