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Finding the Third Proportional to 96,389 and 208,869

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Solution

The third proportional to 96,389 and 208,869 is: 452,606.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,389 : 208,869 = 208,869 : x
  2. Step 2: Convert to fraction form
    96,389/208,869 = 208,869/x
  3. Step 3: Cross multiply
    96,389x = 208,869 × 208,869
  4. Step 4: Simplify right side
    96,389x = 43,626,259,161
  5. Step 5: Solve for x
    x = 43,626,259,161/96,389
  6. Step 6: Final answer
    x = 452,606.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.