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Finding the Third Proportional to 96,228 and 202,986

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Solution

The third proportional to 96,228 and 202,986 is: 428,184.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,228 : 202,986 = 202,986 : x
  2. Step 2: Convert to fraction form
    96,228/202,986 = 202,986/x
  3. Step 3: Cross multiply
    96,228x = 202,986 × 202,986
  4. Step 4: Simplify right side
    96,228x = 41,203,316,196
  5. Step 5: Solve for x
    x = 41,203,316,196/96,228
  6. Step 6: Final answer
    x = 428,184.27

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.