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Finding the Third Proportional to 43,766.25 and 96,042.38

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Solution

The third proportional to 43,766.25 and 96,042.38 is: 210,759.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,766.25 : 96,042.38 = 96,042.38 : x
  2. Step 2: Convert to fraction form
    43,766.25/96,042.38 = 96,042.38/x
  3. Step 3: Cross multiply
    43,766.25x = 96,042.38 × 96,042.38
  4. Step 4: Simplify right side
    43,766.25x = 9,224,137,795.64
  5. Step 5: Solve for x
    x = 9,224,137,795.64/43,766.25
  6. Step 6: Final answer
    x = 210,759.15

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.