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Finding the Third Proportional to 69,474.38 and 149,666.06

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Solution

The third proportional to 69,474.38 and 149,666.06 is: 322,420.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,474.38 : 149,666.06 = 149,666.06 : x
  2. Step 2: Convert to fraction form
    69,474.38/149,666.06 = 149,666.06/x
  3. Step 3: Cross multiply
    69,474.38x = 149,666.06 × 149,666.06
  4. Step 4: Simplify right side
    69,474.38x = 22,399,930,264.25
  5. Step 5: Solve for x
    x = 22,399,930,264.25/69,474.38
  6. Step 6: Final answer
    x = 322,420.03

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.