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Finding the Third Proportional to 139,933.83 and 210,908.81

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Solution

The third proportional to 139,933.83 and 210,908.81 is: 317,882.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,933.83 : 210,908.81 = 210,908.81 : x
  2. Step 2: Convert to fraction form
    139,933.83/210,908.81 = 210,908.81/x
  3. Step 3: Cross multiply
    139,933.83x = 210,908.81 × 210,908.81
  4. Step 4: Simplify right side
    139,933.83x = 44,482,527,190.16
  5. Step 5: Solve for x
    x = 44,482,527,190.16/139,933.83
  6. Step 6: Final answer
    x = 317,882.59

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.