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Finding the Third Proportional to 99,104 and 213,760

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Solution

The third proportional to 99,104 and 213,760 is: 461,064.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,104 : 213,760 = 213,760 : x
  2. Step 2: Convert to fraction form
    99,104/213,760 = 213,760/x
  3. Step 3: Cross multiply
    99,104x = 213,760 × 213,760
  4. Step 4: Simplify right side
    99,104x = 45,693,337,600
  5. Step 5: Solve for x
    x = 45,693,337,600/99,104
  6. Step 6: Final answer
    x = 461,064.51

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.