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Finding the Third Proportional to 96,896 and 205,519

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Solution

The third proportional to 96,896 and 205,519 is: 435,911.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,896 : 205,519 = 205,519 : x
  2. Step 2: Convert to fraction form
    96,896/205,519 = 205,519/x
  3. Step 3: Cross multiply
    96,896x = 205,519 × 205,519
  4. Step 4: Simplify right side
    96,896x = 42,238,059,361
  5. Step 5: Solve for x
    x = 42,238,059,361/96,896
  6. Step 6: Final answer
    x = 435,911.28

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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.