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Finding the Third Proportional to 46,031 and 100,846

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Solution

The third proportional to 46,031 and 100,846 is: 220,936.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,031 : 100,846 = 100,846 : x
  2. Step 2: Convert to fraction form
    46,031/100,846 = 100,846/x
  3. Step 3: Cross multiply
    46,031x = 100,846 × 100,846
  4. Step 4: Simplify right side
    46,031x = 10,169,915,716
  5. Step 5: Solve for x
    x = 10,169,915,716/46,031
  6. Step 6: Final answer
    x = 220,936.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.