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Finding the Third Proportional to 84,943.69 and 178,627.78

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Solution

The third proportional to 84,943.69 and 178,627.78 is: 375,635.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,943.69 : 178,627.78 = 178,627.78 : x
  2. Step 2: Convert to fraction form
    84,943.69/178,627.78 = 178,627.78/x
  3. Step 3: Cross multiply
    84,943.69x = 178,627.78 × 178,627.78
  4. Step 4: Simplify right side
    84,943.69x = 31,907,884,234.30
  5. Step 5: Solve for x
    x = 31,907,884,234.30/84,943.69
  6. Step 6: Final answer
    x = 375,635.73

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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.