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Finding the Third Proportional to 96,228 and 209,405.25

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Solution

The third proportional to 96,228 and 209,405.25 is: 455,694.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,228 : 209,405.25 = 209,405.25 : x
  2. Step 2: Convert to fraction form
    96,228/209,405.25 = 209,405.25/x
  3. Step 3: Cross multiply
    96,228x = 209,405.25 × 209,405.25
  4. Step 4: Simplify right side
    96,228x = 43,850,558,727.56
  5. Step 5: Solve for x
    x = 43,850,558,727.56/96,228
  6. Step 6: Final answer
    x = 455,694.38

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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.