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Finding the Third Proportional to 96,836 and 208,969

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Solution

The third proportional to 96,836 and 208,969 is: 450,948.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,836 : 208,969 = 208,969 : x
  2. Step 2: Convert to fraction form
    96,836/208,969 = 208,969/x
  3. Step 3: Cross multiply
    96,836x = 208,969 × 208,969
  4. Step 4: Simplify right side
    96,836x = 43,668,042,961
  5. Step 5: Solve for x
    x = 43,668,042,961/96,836
  6. Step 6: Final answer
    x = 450,948.44

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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.