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Finding the Third Proportional to 95,971 and 206,522

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Solution

The third proportional to 95,971 and 206,522 is: 444,419.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,971 : 206,522 = 206,522 : x
  2. Step 2: Convert to fraction form
    95,971/206,522 = 206,522/x
  3. Step 3: Cross multiply
    95,971x = 206,522 × 206,522
  4. Step 4: Simplify right side
    95,971x = 42,651,336,484
  5. Step 5: Solve for x
    x = 42,651,336,484/95,971
  6. Step 6: Final answer
    x = 444,419.01

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.