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Finding the Third Proportional to 95,673 and 208,834

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Solution

The third proportional to 95,673 and 208,834 is: 455,840.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,673 : 208,834 = 208,834 : x
  2. Step 2: Convert to fraction form
    95,673/208,834 = 208,834/x
  3. Step 3: Cross multiply
    95,673x = 208,834 × 208,834
  4. Step 4: Simplify right side
    95,673x = 43,611,639,556
  5. Step 5: Solve for x
    x = 43,611,639,556/95,673
  6. Step 6: Final answer
    x = 455,840.62

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.