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Finding the Third Proportional to 46,256 and 99,800

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Solution

The third proportional to 46,256 and 99,800 is: 215,324.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,256 : 99,800 = 99,800 : x
  2. Step 2: Convert to fraction form
    46,256/99,800 = 99,800/x
  3. Step 3: Cross multiply
    46,256x = 99,800 × 99,800
  4. Step 4: Simplify right side
    46,256x = 9,960,040,000
  5. Step 5: Solve for x
    x = 9,960,040,000/46,256
  6. Step 6: Final answer
    x = 215,324.28

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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.