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Finding the Third Proportional to 93,977.06 and 221,769.38

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Solution

The third proportional to 93,977.06 and 221,769.38 is: 523,336.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,977.06 : 221,769.38 = 221,769.38 : x
  2. Step 2: Convert to fraction form
    93,977.06/221,769.38 = 221,769.38/x
  3. Step 3: Cross multiply
    93,977.06x = 221,769.38 × 221,769.38
  4. Step 4: Simplify right side
    93,977.06x = 49,181,655,687.89
  5. Step 5: Solve for x
    x = 49,181,655,687.89/93,977.06
  6. Step 6: Final answer
    x = 523,336.81

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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.