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Finding the Third Proportional to 106,003.69 and 230,409.56

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Solution

The third proportional to 106,003.69 and 230,409.56 is: 500,818.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,003.69 : 230,409.56 = 230,409.56 : x
  2. Step 2: Convert to fraction form
    106,003.69/230,409.56 = 230,409.56/x
  3. Step 3: Cross multiply
    106,003.69x = 230,409.56 × 230,409.56
  4. Step 4: Simplify right side
    106,003.69x = 53,088,566,491.44
  5. Step 5: Solve for x
    x = 53,088,566,491.44/106,003.69
  6. Step 6: Final answer
    x = 500,818.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.