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Finding the Third Proportional to 49,984.59 and 106,831.41

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Solution

The third proportional to 49,984.59 and 106,831.41 is: 228,329.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,984.59 : 106,831.41 = 106,831.41 : x
  2. Step 2: Convert to fraction form
    49,984.59/106,831.41 = 106,831.41/x
  3. Step 3: Cross multiply
    49,984.59x = 106,831.41 × 106,831.41
  4. Step 4: Simplify right side
    49,984.59x = 11,412,949,361.35
  5. Step 5: Solve for x
    x = 11,412,949,361.35/49,984.59
  6. Step 6: Final answer
    x = 228,329.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.