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Finding the Third Proportional to 93,789.75 and 191,049

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Solution

The third proportional to 93,789.75 and 191,049 is: 389,165.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,789.75 : 191,049 = 191,049 : x
  2. Step 2: Convert to fraction form
    93,789.75/191,049 = 191,049/x
  3. Step 3: Cross multiply
    93,789.75x = 191,049 × 191,049
  4. Step 4: Simplify right side
    93,789.75x = 36,499,720,401
  5. Step 5: Solve for x
    x = 36,499,720,401/93,789.75
  6. Step 6: Final answer
    x = 389,165.34

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.