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Finding the Third Proportional to 106,246.69 and 231,185.81

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Solution

The third proportional to 106,246.69 and 231,185.81 is: 503,045.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,246.69 : 231,185.81 = 231,185.81 : x
  2. Step 2: Convert to fraction form
    106,246.69/231,185.81 = 231,185.81/x
  3. Step 3: Cross multiply
    106,246.69x = 231,185.81 × 231,185.81
  4. Step 4: Simplify right side
    106,246.69x = 53,446,879,901.29
  5. Step 5: Solve for x
    x = 53,446,879,901.29/106,246.69
  6. Step 6: Final answer
    x = 503,045.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.