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Finding the Third Proportional to 106,474.88 and 234,554.06

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Solution

The third proportional to 106,474.88 and 234,554.06 is: 516,700.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,474.88 : 234,554.06 = 234,554.06 : x
  2. Step 2: Convert to fraction form
    106,474.88/234,554.06 = 234,554.06/x
  3. Step 3: Cross multiply
    106,474.88x = 234,554.06 × 234,554.06
  4. Step 4: Simplify right side
    106,474.88x = 55,015,608,235.25
  5. Step 5: Solve for x
    x = 55,015,608,235.25/106,474.88
  6. Step 6: Final answer
    x = 516,700.38

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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.