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Finding the Third Proportional to 107,846.44 and 163,273.22

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Solution

The third proportional to 107,846.44 and 163,273.22 is: 247,186.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,846.44 : 163,273.22 = 163,273.22 : x
  2. Step 2: Convert to fraction form
    107,846.44/163,273.22 = 163,273.22/x
  3. Step 3: Cross multiply
    107,846.44x = 163,273.22 × 163,273.22
  4. Step 4: Simplify right side
    107,846.44x = 26,658,143,960.99
  5. Step 5: Solve for x
    x = 26,658,143,960.99/107,846.44
  6. Step 6: Final answer
    x = 247,186.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.