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Finding the Third Proportional to 95,472 and 205,736

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Solution

The third proportional to 95,472 and 205,736 is: 443,347.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,472 : 205,736 = 205,736 : x
  2. Step 2: Convert to fraction form
    95,472/205,736 = 205,736/x
  3. Step 3: Cross multiply
    95,472x = 205,736 × 205,736
  4. Step 4: Simplify right side
    95,472x = 42,327,301,696
  5. Step 5: Solve for x
    x = 42,327,301,696/95,472
  6. Step 6: Final answer
    x = 443,347.81

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.