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Finding the Third Proportional to 46,750.50 and 100,198.69

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Solution

The third proportional to 46,750.50 and 100,198.69 is: 214,752.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,750.50 : 100,198.69 = 100,198.69 : x
  2. Step 2: Convert to fraction form
    46,750.50/100,198.69 = 100,198.69/x
  3. Step 3: Cross multiply
    46,750.50x = 100,198.69 × 100,198.69
  4. Step 4: Simplify right side
    46,750.50x = 10,039,776,976.72
  5. Step 5: Solve for x
    x = 10,039,776,976.72/46,750.50
  6. Step 6: Final answer
    x = 214,752.29

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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.