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Finding the Third Proportional to 104,234.63 and 227,586.38

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Solution

The third proportional to 104,234.63 and 227,586.38 is: 496,913.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,234.63 : 227,586.38 = 227,586.38 : x
  2. Step 2: Convert to fraction form
    104,234.63/227,586.38 = 227,586.38/x
  3. Step 3: Cross multiply
    104,234.63x = 227,586.38 × 227,586.38
  4. Step 4: Simplify right side
    104,234.63x = 51,795,558,085.64
  5. Step 5: Solve for x
    x = 51,795,558,085.64/104,234.63
  6. Step 6: Final answer
    x = 496,913.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.