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Finding the Third Proportional to 95,776 and 205,664

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Solution

The third proportional to 95,776 and 205,664 is: 441,631.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,776 : 205,664 = 205,664 : x
  2. Step 2: Convert to fraction form
    95,776/205,664 = 205,664/x
  3. Step 3: Cross multiply
    95,776x = 205,664 × 205,664
  4. Step 4: Simplify right side
    95,776x = 42,297,680,896
  5. Step 5: Solve for x
    x = 42,297,680,896/95,776
  6. Step 6: Final answer
    x = 441,631.32

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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.