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Finding the Third Proportional to 96,888 and 209,064

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Solution

The third proportional to 96,888 and 209,064 is: 451,116.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,888 : 209,064 = 209,064 : x
  2. Step 2: Convert to fraction form
    96,888/209,064 = 209,064/x
  3. Step 3: Cross multiply
    96,888x = 209,064 × 209,064
  4. Step 4: Simplify right side
    96,888x = 43,707,756,096
  5. Step 5: Solve for x
    x = 43,707,756,096/96,888
  6. Step 6: Final answer
    x = 451,116.30

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.