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Finding the Third Proportional to 96,166 and 209,828

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Solution

The third proportional to 96,166 and 209,828 is: 457,831.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,166 : 209,828 = 209,828 : x
  2. Step 2: Convert to fraction form
    96,166/209,828 = 209,828/x
  3. Step 3: Cross multiply
    96,166x = 209,828 × 209,828
  4. Step 4: Simplify right side
    96,166x = 44,027,789,584
  5. Step 5: Solve for x
    x = 44,027,789,584/96,166
  6. Step 6: Final answer
    x = 457,831.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.