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Finding the Third Proportional to 96,945 and 207,930

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Solution

The third proportional to 96,945 and 207,930 is: 445,973.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,945 : 207,930 = 207,930 : x
  2. Step 2: Convert to fraction form
    96,945/207,930 = 207,930/x
  3. Step 3: Cross multiply
    96,945x = 207,930 × 207,930
  4. Step 4: Simplify right side
    96,945x = 43,234,884,900
  5. Step 5: Solve for x
    x = 43,234,884,900/96,945
  6. Step 6: Final answer
    x = 445,973.33

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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.