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Finding the Third Proportional to 69,472.37 and 149,477.27

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Solution

The third proportional to 69,472.37 and 149,477.27 is: 321,616.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,472.37 : 149,477.27 = 149,477.27 : x
  2. Step 2: Convert to fraction form
    69,472.37/149,477.27 = 149,477.27/x
  3. Step 3: Cross multiply
    69,472.37x = 149,477.27 × 149,477.27
  4. Step 4: Simplify right side
    69,472.37x = 22,343,455,274.31
  5. Step 5: Solve for x
    x = 22,343,455,274.31/69,472.37
  6. Step 6: Final answer
    x = 321,616.42

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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.