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Finding the Third Proportional to 99,744 and 230,928

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Solution

The third proportional to 99,744 and 230,928 is: 534,646.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,744 : 230,928 = 230,928 : x
  2. Step 2: Convert to fraction form
    99,744/230,928 = 230,928/x
  3. Step 3: Cross multiply
    99,744x = 230,928 × 230,928
  4. Step 4: Simplify right side
    99,744x = 53,327,741,184
  5. Step 5: Solve for x
    x = 53,327,741,184/99,744
  6. Step 6: Final answer
    x = 534,646.11

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.