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Finding the Third Proportional to 95,009 and 205,081

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Solution

The third proportional to 95,009 and 205,081 is: 442,676.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,009 : 205,081 = 205,081 : x
  2. Step 2: Convert to fraction form
    95,009/205,081 = 205,081/x
  3. Step 3: Cross multiply
    95,009x = 205,081 × 205,081
  4. Step 4: Simplify right side
    95,009x = 42,058,216,561
  5. Step 5: Solve for x
    x = 42,058,216,561/95,009
  6. Step 6: Final answer
    x = 442,676.13

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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.