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Finding the Third Proportional to 108,976.50 and 234,651.66

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Solution

The third proportional to 108,976.50 and 234,651.66 is: 505,259.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,976.50 : 234,651.66 = 234,651.66 : x
  2. Step 2: Convert to fraction form
    108,976.50/234,651.66 = 234,651.66/x
  3. Step 3: Cross multiply
    108,976.50x = 234,651.66 × 234,651.66
  4. Step 4: Simplify right side
    108,976.50x = 55,061,399,780.87
  5. Step 5: Solve for x
    x = 55,061,399,780.87/108,976.50
  6. Step 6: Final answer
    x = 505,259.39

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Why These Related Problems?

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