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Finding the Third Proportional to 93,976.73 and 221,768.58

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Solution

The third proportional to 93,976.73 and 221,768.58 is: 523,334.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,976.73 : 221,768.58 = 221,768.58 : x
  2. Step 2: Convert to fraction form
    93,976.73/221,768.58 = 221,768.58/x
  3. Step 3: Cross multiply
    93,976.73x = 221,768.58 × 221,768.58
  4. Step 4: Simplify right side
    93,976.73x = 49,181,302,243.58
  5. Step 5: Solve for x
    x = 49,181,302,243.58/93,976.73
  6. Step 6: Final answer
    x = 523,334.87

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.