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Finding the Third Proportional to 96,805 and 208,444

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Solution

The third proportional to 96,805 and 208,444 is: 448,829.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,805 : 208,444 = 208,444 : x
  2. Step 2: Convert to fraction form
    96,805/208,444 = 208,444/x
  3. Step 3: Cross multiply
    96,805x = 208,444 × 208,444
  4. Step 4: Simplify right side
    96,805x = 43,448,901,136
  5. Step 5: Solve for x
    x = 43,448,901,136/96,805
  6. Step 6: Final answer
    x = 448,829.10

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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.