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Finding the Third Proportional to 95,266 and 209,216

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Solution

The third proportional to 95,266 and 209,216 is: 459,464.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,266 : 209,216 = 209,216 : x
  2. Step 2: Convert to fraction form
    95,266/209,216 = 209,216/x
  3. Step 3: Cross multiply
    95,266x = 209,216 × 209,216
  4. Step 4: Simplify right side
    95,266x = 43,771,334,656
  5. Step 5: Solve for x
    x = 43,771,334,656/95,266
  6. Step 6: Final answer
    x = 459,464.39

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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.