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Finding the Third Proportional to 93,571.14 and 191,204.46

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Solution

The third proportional to 93,571.14 and 191,204.46 is: 390,709.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,571.14 : 191,204.46 = 191,204.46 : x
  2. Step 2: Convert to fraction form
    93,571.14/191,204.46 = 191,204.46/x
  3. Step 3: Cross multiply
    93,571.14x = 191,204.46 × 191,204.46
  4. Step 4: Simplify right side
    93,571.14x = 36,559,143,641.72
  5. Step 5: Solve for x
    x = 36,559,143,641.72/93,571.14
  6. Step 6: Final answer
    x = 390,709.62

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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.