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Finding the Third Proportional to 96,898 and 208,636

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Solution

The third proportional to 96,898 and 208,636 is: 449,224.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,898 : 208,636 = 208,636 : x
  2. Step 2: Convert to fraction form
    96,898/208,636 = 208,636/x
  3. Step 3: Cross multiply
    96,898x = 208,636 × 208,636
  4. Step 4: Simplify right side
    96,898x = 43,528,980,496
  5. Step 5: Solve for x
    x = 43,528,980,496/96,898
  6. Step 6: Final answer
    x = 449,224.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.