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Finding the Third Proportional to 106,089.75 and 230,905.69

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Solution

The third proportional to 106,089.75 and 230,905.69 is: 502,569.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,089.75 : 230,905.69 = 230,905.69 : x
  2. Step 2: Convert to fraction form
    106,089.75/230,905.69 = 230,905.69/x
  3. Step 3: Cross multiply
    106,089.75x = 230,905.69 × 230,905.69
  4. Step 4: Simplify right side
    106,089.75x = 53,317,436,519.85
  5. Step 5: Solve for x
    x = 53,317,436,519.85/106,089.75
  6. Step 6: Final answer
    x = 502,569.16

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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.