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Finding the Third Proportional to 95,710 and 206,044

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Solution

The third proportional to 95,710 and 206,044 is: 443,570.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,710 : 206,044 = 206,044 : x
  2. Step 2: Convert to fraction form
    95,710/206,044 = 206,044/x
  3. Step 3: Cross multiply
    95,710x = 206,044 × 206,044
  4. Step 4: Simplify right side
    95,710x = 42,454,129,936
  5. Step 5: Solve for x
    x = 42,454,129,936/95,710
  6. Step 6: Final answer
    x = 443,570.47

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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.