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Finding the Third Proportional to 109,116 and 234,918

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Solution

The third proportional to 109,116 and 234,918 is: 505,759.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,116 : 234,918 = 234,918 : x
  2. Step 2: Convert to fraction form
    109,116/234,918 = 234,918/x
  3. Step 3: Cross multiply
    109,116x = 234,918 × 234,918
  4. Step 4: Simplify right side
    109,116x = 55,186,466,724
  5. Step 5: Solve for x
    x = 55,186,466,724/109,116
  6. Step 6: Final answer
    x = 505,759.62

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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.