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Finding the Third Proportional to 95,393 and 205,546

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Solution

The third proportional to 95,393 and 205,546 is: 442,895.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,393 : 205,546 = 205,546 : x
  2. Step 2: Convert to fraction form
    95,393/205,546 = 205,546/x
  3. Step 3: Cross multiply
    95,393x = 205,546 × 205,546
  4. Step 4: Simplify right side
    95,393x = 42,249,158,116
  5. Step 5: Solve for x
    x = 42,249,158,116/95,393
  6. Step 6: Final answer
    x = 442,895.79

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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.