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Finding the Third Proportional to 48,831.61 and 103,658.48

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Solution

The third proportional to 48,831.61 and 103,658.48 is: 220,043.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,831.61 : 103,658.48 = 103,658.48 : x
  2. Step 2: Convert to fraction form
    48,831.61/103,658.48 = 103,658.48/x
  3. Step 3: Cross multiply
    48,831.61x = 103,658.48 × 103,658.48
  4. Step 4: Simplify right side
    48,831.61x = 10,745,081,382.92
  5. Step 5: Solve for x
    x = 10,745,081,382.92/48,831.61
  6. Step 6: Final answer
    x = 220,043.56

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.