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Finding the Third Proportional to 105,658.75 and 227,963

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Solution

The third proportional to 105,658.75 and 227,963 is: 491,839.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,658.75 : 227,963 = 227,963 : x
  2. Step 2: Convert to fraction form
    105,658.75/227,963 = 227,963/x
  3. Step 3: Cross multiply
    105,658.75x = 227,963 × 227,963
  4. Step 4: Simplify right side
    105,658.75x = 51,967,129,369
  5. Step 5: Solve for x
    x = 51,967,129,369/105,658.75
  6. Step 6: Final answer
    x = 491,839.34

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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.