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Finding the Third Proportional to 49,280.06 and 107,367.19

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Solution

The third proportional to 49,280.06 and 107,367.19 is: 233,922.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,280.06 : 107,367.19 = 107,367.19 : x
  2. Step 2: Convert to fraction form
    49,280.06/107,367.19 = 107,367.19/x
  3. Step 3: Cross multiply
    49,280.06x = 107,367.19 × 107,367.19
  4. Step 4: Simplify right side
    49,280.06x = 11,527,712,951.66
  5. Step 5: Solve for x
    x = 11,527,712,951.66/49,280.06
  6. Step 6: Final answer
    x = 233,922.45

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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.