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Finding the Third Proportional to 96,834.38 and 208,964.25

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Solution

The third proportional to 96,834.38 and 208,964.25 is: 450,935.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,834.38 : 208,964.25 = 208,964.25 : x
  2. Step 2: Convert to fraction form
    96,834.38/208,964.25 = 208,964.25/x
  3. Step 3: Cross multiply
    96,834.38x = 208,964.25 × 208,964.25
  4. Step 4: Simplify right side
    96,834.38x = 43,666,057,778.06
  5. Step 5: Solve for x
    x = 43,666,057,778.06/96,834.38
  6. Step 6: Final answer
    x = 450,935.50

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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.