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Finding the Third Proportional to 105,490.50 and 231,009

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Solution

The third proportional to 105,490.50 and 231,009 is: 505,876.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,490.50 : 231,009 = 231,009 : x
  2. Step 2: Convert to fraction form
    105,490.50/231,009 = 231,009/x
  3. Step 3: Cross multiply
    105,490.50x = 231,009 × 231,009
  4. Step 4: Simplify right side
    105,490.50x = 53,365,158,081
  5. Step 5: Solve for x
    x = 53,365,158,081/105,490.50
  6. Step 6: Final answer
    x = 505,876.44

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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.