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Finding the Third Proportional to 108,766.50 and 233,599.88

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Solution

The third proportional to 108,766.50 and 233,599.88 is: 501,706.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,766.50 : 233,599.88 = 233,599.88 : x
  2. Step 2: Convert to fraction form
    108,766.50/233,599.88 = 233,599.88/x
  3. Step 3: Cross multiply
    108,766.50x = 233,599.88 × 233,599.88
  4. Step 4: Simplify right side
    108,766.50x = 54,568,901,600.02
  5. Step 5: Solve for x
    x = 54,568,901,600.02/108,766.50
  6. Step 6: Final answer
    x = 501,706.88

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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.