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Finding the Third Proportional to 49,040.91 and 105,924.27

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Solution

The third proportional to 49,040.91 and 105,924.27 is: 228,787.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,040.91 : 105,924.27 = 105,924.27 : x
  2. Step 2: Convert to fraction form
    49,040.91/105,924.27 = 105,924.27/x
  3. Step 3: Cross multiply
    49,040.91x = 105,924.27 × 105,924.27
  4. Step 4: Simplify right side
    49,040.91x = 11,219,950,875.73
  5. Step 5: Solve for x
    x = 11,219,950,875.73/49,040.91
  6. Step 6: Final answer
    x = 228,787.57

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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.