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Finding the Third Proportional to 189,704,708.44 and 423,028,640.81

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Solution

The third proportional to 189,704,708.44 and 423,028,640.81 is: 943,325,194.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,704,708.44 : 423,028,640.81 = 423,028,640.81 : x
  2. Step 2: Convert to fraction form
    189,704,708.44/423,028,640.81 = 423,028,640.81/x
  3. Step 3: Cross multiply
    189,704,708.44x = 423,028,640.81 × 423,028,640.81
  4. Step 4: Simplify right side
    189,704,708.44x = 178,953,230,947,671,136
  5. Step 5: Solve for x
    x = 178,953,230,947,671,136/189,704,708.44
  6. Step 6: Final answer
    x = 943,325,194.31

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.