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Finding the Third Proportional to 84,358.97 and 178,202.53

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Solution

The third proportional to 84,358.97 and 178,202.53 is: 376,440.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,358.97 : 178,202.53 = 178,202.53 : x
  2. Step 2: Convert to fraction form
    84,358.97/178,202.53 = 178,202.53/x
  3. Step 3: Cross multiply
    84,358.97x = 178,202.53 × 178,202.53
  4. Step 4: Simplify right side
    84,358.97x = 31,756,142,143.91
  5. Step 5: Solve for x
    x = 31,756,142,143.91/84,358.97
  6. Step 6: Final answer
    x = 376,440.62

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.