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Finding the Third Proportional to 81,861.47 and 178,941.23

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Solution

The third proportional to 81,861.47 and 178,941.23 is: 391,148.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,861.47 : 178,941.23 = 178,941.23 : x
  2. Step 2: Convert to fraction form
    81,861.47/178,941.23 = 178,941.23/x
  3. Step 3: Cross multiply
    81,861.47x = 178,941.23 × 178,941.23
  4. Step 4: Simplify right side
    81,861.47x = 32,019,965,359.65
  5. Step 5: Solve for x
    x = 32,019,965,359.65/81,861.47
  6. Step 6: Final answer
    x = 391,148.19

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Why These Related Problems?

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