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Finding the Third Proportional to 96,777 and 205,296

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Solution

The third proportional to 96,777 and 205,296 is: 435,500.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,777 : 205,296 = 205,296 : x
  2. Step 2: Convert to fraction form
    96,777/205,296 = 205,296/x
  3. Step 3: Cross multiply
    96,777x = 205,296 × 205,296
  4. Step 4: Simplify right side
    96,777x = 42,146,447,616
  5. Step 5: Solve for x
    x = 42,146,447,616/96,777
  6. Step 6: Final answer
    x = 435,500.66

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.