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Finding the Third Proportional to 46,204 and 99,698

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Solution

The third proportional to 46,204 and 99,698 is: 215,126.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,204 : 99,698 = 99,698 : x
  2. Step 2: Convert to fraction form
    46,204/99,698 = 99,698/x
  3. Step 3: Cross multiply
    46,204x = 99,698 × 99,698
  4. Step 4: Simplify right side
    46,204x = 9,939,691,204
  5. Step 5: Solve for x
    x = 9,939,691,204/46,204
  6. Step 6: Final answer
    x = 215,126.21

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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.