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Finding the Third Proportional to 96,469 and 208,533

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Solution

The third proportional to 96,469 and 208,533 is: 450,777.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,469 : 208,533 = 208,533 : x
  2. Step 2: Convert to fraction form
    96,469/208,533 = 208,533/x
  3. Step 3: Cross multiply
    96,469x = 208,533 × 208,533
  4. Step 4: Simplify right side
    96,469x = 43,486,012,089
  5. Step 5: Solve for x
    x = 43,486,012,089/96,469
  6. Step 6: Final answer
    x = 450,777.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.