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Finding the Third Proportional to 81,888.47 and 173,618.44

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Solution

The third proportional to 81,888.47 and 173,618.44 is: 368,102.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,888.47 : 173,618.44 = 173,618.44 : x
  2. Step 2: Convert to fraction form
    81,888.47/173,618.44 = 173,618.44/x
  3. Step 3: Cross multiply
    81,888.47x = 173,618.44 × 173,618.44
  4. Step 4: Simplify right side
    81,888.47x = 30,143,361,839.94
  5. Step 5: Solve for x
    x = 30,143,361,839.94/81,888.47
  6. Step 6: Final answer
    x = 368,102.64

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.