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Finding the Third Proportional to 106,110 and 230,881

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Solution

The third proportional to 106,110 and 230,881 is: 502,365.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,110 : 230,881 = 230,881 : x
  2. Step 2: Convert to fraction form
    106,110/230,881 = 230,881/x
  3. Step 3: Cross multiply
    106,110x = 230,881 × 230,881
  4. Step 4: Simplify right side
    106,110x = 53,306,036,161
  5. Step 5: Solve for x
    x = 53,306,036,161/106,110
  6. Step 6: Final answer
    x = 502,365.81

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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.