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Finding the Third Proportional to 46,786 and 100,244

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Solution

The third proportional to 46,786 and 100,244 is: 214,783.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,786 : 100,244 = 100,244 : x
  2. Step 2: Convert to fraction form
    46,786/100,244 = 100,244/x
  3. Step 3: Cross multiply
    46,786x = 100,244 × 100,244
  4. Step 4: Simplify right side
    46,786x = 10,048,859,536
  5. Step 5: Solve for x
    x = 10,048,859,536/46,786
  6. Step 6: Final answer
    x = 214,783.47

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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.