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Finding the Third Proportional to 49,911.75 and 107,815.50

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Solution

The third proportional to 49,911.75 and 107,815.50 is: 232,894.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,911.75 : 107,815.50 = 107,815.50 : x
  2. Step 2: Convert to fraction form
    49,911.75/107,815.50 = 107,815.50/x
  3. Step 3: Cross multiply
    49,911.75x = 107,815.50 × 107,815.50
  4. Step 4: Simplify right side
    49,911.75x = 11,624,182,040.25
  5. Step 5: Solve for x
    x = 11,624,182,040.25/49,911.75
  6. Step 6: Final answer
    x = 232,894.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.