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Finding the Third Proportional to 189,303,162.75 and 283,198,008.38

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Solution

The third proportional to 189,303,162.75 and 283,198,008.38 is: 423,664,933.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,303,162.75 : 283,198,008.38 = 283,198,008.38 : x
  2. Step 2: Convert to fraction form
    189,303,162.75/283,198,008.38 = 283,198,008.38/x
  3. Step 3: Cross multiply
    189,303,162.75x = 283,198,008.38 × 283,198,008.38
  4. Step 4: Simplify right side
    189,303,162.75x = 80,201,111,947,566,576
  5. Step 5: Solve for x
    x = 80,201,111,947,566,576/189,303,162.75
  6. Step 6: Final answer
    x = 423,664,933.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.