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Finding the Third Proportional to 104,991.19 and 230,394.38

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Solution

The third proportional to 104,991.19 and 230,394.38 is: 505,581.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,991.19 : 230,394.38 = 230,394.38 : x
  2. Step 2: Convert to fraction form
    104,991.19/230,394.38 = 230,394.38/x
  3. Step 3: Cross multiply
    104,991.19x = 230,394.38 × 230,394.38
  4. Step 4: Simplify right side
    104,991.19x = 53,081,568,031.64
  5. Step 5: Solve for x
    x = 53,081,568,031.64/104,991.19
  6. Step 6: Final answer
    x = 505,581.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.