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Finding the Third Proportional to 189,599,976 and 283,157,532

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Solution

The third proportional to 189,599,976 and 283,157,532 is: 422,880,791.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,599,976 : 283,157,532 = 283,157,532 : x
  2. Step 2: Convert to fraction form
    189,599,976/283,157,532 = 283,157,532/x
  3. Step 3: Cross multiply
    189,599,976x = 283,157,532 × 283,157,532
  4. Step 4: Simplify right side
    189,599,976x = 80,178,187,928,331,024
  5. Step 5: Solve for x
    x = 80,178,187,928,331,024/189,599,976
  6. Step 6: Final answer
    x = 422,880,791.55

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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.