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Finding the Third Proportional to 96,898 and 205,524

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Solution

The third proportional to 96,898 and 205,524 is: 435,923.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,898 : 205,524 = 205,524 : x
  2. Step 2: Convert to fraction form
    96,898/205,524 = 205,524/x
  3. Step 3: Cross multiply
    96,898x = 205,524 × 205,524
  4. Step 4: Simplify right side
    96,898x = 42,240,114,576
  5. Step 5: Solve for x
    x = 42,240,114,576/96,898
  6. Step 6: Final answer
    x = 435,923.49

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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.