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Finding the Third Proportional to 96,890 and 207,795

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Solution

The third proportional to 96,890 and 207,795 is: 445,647.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,890 : 207,795 = 207,795 : x
  2. Step 2: Convert to fraction form
    96,890/207,795 = 207,795/x
  3. Step 3: Cross multiply
    96,890x = 207,795 × 207,795
  4. Step 4: Simplify right side
    96,890x = 43,178,762,025
  5. Step 5: Solve for x
    x = 43,178,762,025/96,890
  6. Step 6: Final answer
    x = 445,647.25

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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.