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Finding the Third Proportional to 47,446,951.50 and 103,593,951

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Solution

The third proportional to 47,446,951.50 and 103,593,951 is: 226,183,270.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,446,951.50 : 103,593,951 = 103,593,951 : x
  2. Step 2: Convert to fraction form
    47,446,951.50/103,593,951 = 103,593,951/x
  3. Step 3: Cross multiply
    47,446,951.50x = 103,593,951 × 103,593,951
  4. Step 4: Simplify right side
    47,446,951.50x = 10,731,706,683,790,400
  5. Step 5: Solve for x
    x = 10,731,706,683,790,400/47,446,951.50
  6. Step 6: Final answer
    x = 226,183,270.88

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Why These Related Problems?

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