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Finding the Third Proportional to 95,332 and 209,336

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Solution

The third proportional to 95,332 and 209,336 is: 459,673.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,332 : 209,336 = 209,336 : x
  2. Step 2: Convert to fraction form
    95,332/209,336 = 209,336/x
  3. Step 3: Cross multiply
    95,332x = 209,336 × 209,336
  4. Step 4: Simplify right side
    95,332x = 43,821,560,896
  5. Step 5: Solve for x
    x = 43,821,560,896/95,332
  6. Step 6: Final answer
    x = 459,673.15

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.