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Finding the Third Proportional to 96,901 and 208,642

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Solution

The third proportional to 96,901 and 208,642 is: 449,236.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,901 : 208,642 = 208,642 : x
  2. Step 2: Convert to fraction form
    96,901/208,642 = 208,642/x
  3. Step 3: Cross multiply
    96,901x = 208,642 × 208,642
  4. Step 4: Simplify right side
    96,901x = 43,531,484,164
  5. Step 5: Solve for x
    x = 43,531,484,164/96,901
  6. Step 6: Final answer
    x = 449,236.69

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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.