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Finding the Third Proportional to 105,616.69 and 234,847.06

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Solution

The third proportional to 105,616.69 and 234,847.06 is: 522,201.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,616.69 : 234,847.06 = 234,847.06 : x
  2. Step 2: Convert to fraction form
    105,616.69/234,847.06 = 234,847.06/x
  3. Step 3: Cross multiply
    105,616.69x = 234,847.06 × 234,847.06
  4. Step 4: Simplify right side
    105,616.69x = 55,153,142,764.88
  5. Step 5: Solve for x
    x = 55,153,142,764.88/105,616.69
  6. Step 6: Final answer
    x = 522,201.03

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.