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Finding the Third Proportional to 96,824 and 208,942

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Solution

The third proportional to 96,824 and 208,942 is: 450,887.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,824 : 208,942 = 208,942 : x
  2. Step 2: Convert to fraction form
    96,824/208,942 = 208,942/x
  3. Step 3: Cross multiply
    96,824x = 208,942 × 208,942
  4. Step 4: Simplify right side
    96,824x = 43,656,759,364
  5. Step 5: Solve for x
    x = 43,656,759,364/96,824
  6. Step 6: Final answer
    x = 450,887.79

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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.