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Finding the Third Proportional to 49,503.94 and 106,468.03

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Solution

The third proportional to 49,503.94 and 106,468.03 is: 228,980.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,503.94 : 106,468.03 = 106,468.03 : x
  2. Step 2: Convert to fraction form
    49,503.94/106,468.03 = 106,468.03/x
  3. Step 3: Cross multiply
    49,503.94x = 106,468.03 × 106,468.03
  4. Step 4: Simplify right side
    49,503.94x = 11,335,441,678.25
  5. Step 5: Solve for x
    x = 11,335,441,678.25/49,503.94
  6. Step 6: Final answer
    x = 228,980.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.