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Finding the Third Proportional to 69,400.13 and 149,324.63

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Solution

The third proportional to 69,400.13 and 149,324.63 is: 321,294.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,400.13 : 149,324.63 = 149,324.63 : x
  2. Step 2: Convert to fraction form
    69,400.13/149,324.63 = 149,324.63/x
  3. Step 3: Cross multiply
    69,400.13x = 149,324.63 × 149,324.63
  4. Step 4: Simplify right side
    69,400.13x = 22,297,843,631.39
  5. Step 5: Solve for x
    x = 22,297,843,631.39/69,400.13
  6. Step 6: Final answer
    x = 321,294.00

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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.