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Finding the Third Proportional to 93,471.47 and 204,438.94

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Solution

The third proportional to 93,471.47 and 204,438.94 is: 447,144.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,471.47 : 204,438.94 = 204,438.94 : x
  2. Step 2: Convert to fraction form
    93,471.47/204,438.94 = 204,438.94/x
  3. Step 3: Cross multiply
    93,471.47x = 204,438.94 × 204,438.94
  4. Step 4: Simplify right side
    93,471.47x = 41,795,279,166.13
  5. Step 5: Solve for x
    x = 41,795,279,166.13/93,471.47
  6. Step 6: Final answer
    x = 447,144.78

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