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Finding the Third Proportional to 42,584.69 and 89,583.31

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Solution

The third proportional to 42,584.69 and 89,583.31 is: 188,452.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,584.69 : 89,583.31 = 89,583.31 : x
  2. Step 2: Convert to fraction form
    42,584.69/89,583.31 = 89,583.31/x
  3. Step 3: Cross multiply
    42,584.69x = 89,583.31 × 89,583.31
  4. Step 4: Simplify right side
    42,584.69x = 8,025,169,878.47
  5. Step 5: Solve for x
    x = 8,025,169,878.47/42,584.69
  6. Step 6: Final answer
    x = 188,452.01

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.