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Finding the Third Proportional to 93,463.88 and 200,049.75

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Solution

The third proportional to 93,463.88 and 200,049.75 is: 428,185.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,463.88 : 200,049.75 = 200,049.75 : x
  2. Step 2: Convert to fraction form
    93,463.88/200,049.75 = 200,049.75/x
  3. Step 3: Cross multiply
    93,463.88x = 200,049.75 × 200,049.75
  4. Step 4: Simplify right side
    93,463.88x = 40,019,902,475.06
  5. Step 5: Solve for x
    x = 40,019,902,475.06/93,463.88
  6. Step 6: Final answer
    x = 428,185.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.