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Finding the Third Proportional to 96,979.78 and 207,901.69

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Solution

The third proportional to 96,979.78 and 207,901.69 is: 445,691.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,979.78 : 207,901.69 = 207,901.69 : x
  2. Step 2: Convert to fraction form
    96,979.78/207,901.69 = 207,901.69/x
  3. Step 3: Cross multiply
    96,979.78x = 207,901.69 × 207,901.69
  4. Step 4: Simplify right side
    96,979.78x = 43,223,111,665.35
  5. Step 5: Solve for x
    x = 43,223,111,665.35/96,979.78
  6. Step 6: Final answer
    x = 445,691.99

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.