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Finding the Third Proportional to 47,269,986 and 102,822,141

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Solution

The third proportional to 47,269,986 and 102,822,141 is: 223,659,737.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,269,986 : 102,822,141 = 102,822,141 : x
  2. Step 2: Convert to fraction form
    47,269,986/102,822,141 = 102,822,141/x
  3. Step 3: Cross multiply
    47,269,986x = 102,822,141 × 102,822,141
  4. Step 4: Simplify right side
    47,269,986x = 10,572,392,679,823,880
  5. Step 5: Solve for x
    x = 10,572,392,679,823,880/47,269,986
  6. Step 6: Final answer
    x = 223,659,737.91

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.