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Finding the Third Proportional to 95,468 and 206,644

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Solution

The third proportional to 95,468 and 206,644 is: 447,288.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,468 : 206,644 = 206,644 : x
  2. Step 2: Convert to fraction form
    95,468/206,644 = 206,644/x
  3. Step 3: Cross multiply
    95,468x = 206,644 × 206,644
  4. Step 4: Simplify right side
    95,468x = 42,701,742,736
  5. Step 5: Solve for x
    x = 42,701,742,736/95,468
  6. Step 6: Final answer
    x = 447,288.54

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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.