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Finding the Third Proportional to 105,142.88 and 231,313.13

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Solution

The third proportional to 105,142.88 and 231,313.13 is: 508,886.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,142.88 : 231,313.13 = 231,313.13 : x
  2. Step 2: Convert to fraction form
    105,142.88/231,313.13 = 231,313.13/x
  3. Step 3: Cross multiply
    105,142.88x = 231,313.13 × 231,313.13
  4. Step 4: Simplify right side
    105,142.88x = 53,505,761,797.27
  5. Step 5: Solve for x
    x = 53,505,761,797.27/105,142.88
  6. Step 6: Final answer
    x = 508,886.24

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.