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Finding the Third Proportional to 49,686.75 and 106,474.50

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Solution

The third proportional to 49,686.75 and 106,474.50 is: 228,165.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,686.75 : 106,474.50 = 106,474.50 : x
  2. Step 2: Convert to fraction form
    49,686.75/106,474.50 = 106,474.50/x
  3. Step 3: Cross multiply
    49,686.75x = 106,474.50 × 106,474.50
  4. Step 4: Simplify right side
    49,686.75x = 11,336,819,150.25
  5. Step 5: Solve for x
    x = 11,336,819,150.25/49,686.75
  6. Step 6: Final answer
    x = 228,165.84

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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.