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Finding the Third Proportional to 105,429.94 and 227,699.44

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Solution

The third proportional to 105,429.94 and 227,699.44 is: 491,767.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,429.94 : 227,699.44 = 227,699.44 : x
  2. Step 2: Convert to fraction form
    105,429.94/227,699.44 = 227,699.44/x
  3. Step 3: Cross multiply
    105,429.94x = 227,699.44 × 227,699.44
  4. Step 4: Simplify right side
    105,429.94x = 51,847,033,837.82
  5. Step 5: Solve for x
    x = 51,847,033,837.82/105,429.94
  6. Step 6: Final answer
    x = 491,767.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.