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Finding the Third Proportional to 109,896.75 and 239,689.13

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Solution

The third proportional to 109,896.75 and 239,689.13 is: 522,771.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,896.75 : 239,689.13 = 239,689.13 : x
  2. Step 2: Convert to fraction form
    109,896.75/239,689.13 = 239,689.13/x
  3. Step 3: Cross multiply
    109,896.75x = 239,689.13 × 239,689.13
  4. Step 4: Simplify right side
    109,896.75x = 57,450,876,643.27
  5. Step 5: Solve for x
    x = 57,450,876,643.27/109,896.75
  6. Step 6: Final answer
    x = 522,771.39

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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.