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Finding the Third Proportional to 96,898 and 205,523

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Solution

The third proportional to 96,898 and 205,523 is: 435,919.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,898 : 205,523 = 205,523 : x
  2. Step 2: Convert to fraction form
    96,898/205,523 = 205,523/x
  3. Step 3: Cross multiply
    96,898x = 205,523 × 205,523
  4. Step 4: Simplify right side
    96,898x = 42,239,703,529
  5. Step 5: Solve for x
    x = 42,239,703,529/96,898
  6. Step 6: Final answer
    x = 435,919.25

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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.