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Finding the Third Proportional to 106,471.97 and 234,548.16

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Solution

The third proportional to 106,471.97 and 234,548.16 is: 516,688.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,471.97 : 234,548.16 = 234,548.16 : x
  2. Step 2: Convert to fraction form
    106,471.97/234,548.16 = 234,548.16/x
  3. Step 3: Cross multiply
    106,471.97x = 234,548.16 × 234,548.16
  4. Step 4: Simplify right side
    106,471.97x = 55,012,837,600.27
  5. Step 5: Solve for x
    x = 55,012,837,600.27/106,471.97
  6. Step 6: Final answer
    x = 516,688.46

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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.