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Finding the Third Proportional to 95,049 and 205,778

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Solution

The third proportional to 95,049 and 205,778 is: 445,502.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,049 : 205,778 = 205,778 : x
  2. Step 2: Convert to fraction form
    95,049/205,778 = 205,778/x
  3. Step 3: Cross multiply
    95,049x = 205,778 × 205,778
  4. Step 4: Simplify right side
    95,049x = 42,344,585,284
  5. Step 5: Solve for x
    x = 42,344,585,284/95,049
  6. Step 6: Final answer
    x = 445,502.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.