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Finding the Third Proportional to 99,723 and 215,100

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Solution

The third proportional to 99,723 and 215,100 is: 463,965.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,723 : 215,100 = 215,100 : x
  2. Step 2: Convert to fraction form
    99,723/215,100 = 215,100/x
  3. Step 3: Cross multiply
    99,723x = 215,100 × 215,100
  4. Step 4: Simplify right side
    99,723x = 46,268,010,000
  5. Step 5: Solve for x
    x = 46,268,010,000/99,723
  6. Step 6: Final answer
    x = 463,965.28

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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.