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Finding the Third Proportional to 96,869 and 208,581

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Solution

The third proportional to 96,869 and 208,581 is: 449,122.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,869 : 208,581 = 208,581 : x
  2. Step 2: Convert to fraction form
    96,869/208,581 = 208,581/x
  3. Step 3: Cross multiply
    96,869x = 208,581 × 208,581
  4. Step 4: Simplify right side
    96,869x = 43,506,033,561
  5. Step 5: Solve for x
    x = 43,506,033,561/96,869
  6. Step 6: Final answer
    x = 449,122.36

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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.