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Finding the Third Proportional to 46,220 and 99,563

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Solution

The third proportional to 46,220 and 99,563 is: 214,469.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,220 : 99,563 = 99,563 : x
  2. Step 2: Convert to fraction form
    46,220/99,563 = 99,563/x
  3. Step 3: Cross multiply
    46,220x = 99,563 × 99,563
  4. Step 4: Simplify right side
    46,220x = 9,912,790,969
  5. Step 5: Solve for x
    x = 9,912,790,969/46,220
  6. Step 6: Final answer
    x = 214,469.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.