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Finding the Third Proportional to 96,905 and 207,823

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Solution

The third proportional to 96,905 and 207,823 is: 445,698.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,905 : 207,823 = 207,823 : x
  2. Step 2: Convert to fraction form
    96,905/207,823 = 207,823/x
  3. Step 3: Cross multiply
    96,905x = 207,823 × 207,823
  4. Step 4: Simplify right side
    96,905x = 43,190,399,329
  5. Step 5: Solve for x
    x = 43,190,399,329/96,905
  6. Step 6: Final answer
    x = 445,698.36

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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.