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Finding the Third Proportional to 146,991.14 and 311,644.92

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Solution

The third proportional to 146,991.14 and 311,644.92 is: 660,737.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,991.14 : 311,644.92 = 311,644.92 : x
  2. Step 2: Convert to fraction form
    146,991.14/311,644.92 = 311,644.92/x
  3. Step 3: Cross multiply
    146,991.14x = 311,644.92 × 311,644.92
  4. Step 4: Simplify right side
    146,991.14x = 97,122,557,330.47
  5. Step 5: Solve for x
    x = 97,122,557,330.47/146,991.14
  6. Step 6: Final answer
    x = 660,737.49

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.