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Finding the Third Proportional to 143,818.88 and 214,908.19

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Solution

The third proportional to 143,818.88 and 214,908.19 is: 321,136.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,818.88 : 214,908.19 = 214,908.19 : x
  2. Step 2: Convert to fraction form
    143,818.88/214,908.19 = 214,908.19/x
  3. Step 3: Cross multiply
    143,818.88x = 214,908.19 × 214,908.19
  4. Step 4: Simplify right side
    143,818.88x = 46,185,529,054.54
  5. Step 5: Solve for x
    x = 46,185,529,054.54/143,818.88
  6. Step 6: Final answer
    x = 321,136.77

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.