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Finding the Third Proportional to 93,387.75 and 196,434.75

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Solution

The third proportional to 93,387.75 and 196,434.75 is: 413,187.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,387.75 : 196,434.75 = 196,434.75 : x
  2. Step 2: Convert to fraction form
    93,387.75/196,434.75 = 196,434.75/x
  3. Step 3: Cross multiply
    93,387.75x = 196,434.75 × 196,434.75
  4. Step 4: Simplify right side
    93,387.75x = 38,586,611,007.56
  5. Step 5: Solve for x
    x = 38,586,611,007.56/93,387.75
  6. Step 6: Final answer
    x = 413,187.07

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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.