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Finding the Third Proportional to 109,513.69 and 164,269.69

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Solution

The third proportional to 109,513.69 and 164,269.69 is: 246,403.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,513.69 : 164,269.69 = 164,269.69 : x
  2. Step 2: Convert to fraction form
    109,513.69/164,269.69 = 164,269.69/x
  3. Step 3: Cross multiply
    109,513.69x = 164,269.69 × 164,269.69
  4. Step 4: Simplify right side
    109,513.69x = 26,984,530,231.35
  5. Step 5: Solve for x
    x = 26,984,530,231.35/109,513.69
  6. Step 6: Final answer
    x = 246,403.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.