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Finding the Third Proportional to 47,751,144 and 102,310,144.50

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Solution

The third proportional to 47,751,144 and 102,310,144.50 is: 219,206,594.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,751,144 : 102,310,144.50 = 102,310,144.50 : x
  2. Step 2: Convert to fraction form
    47,751,144/102,310,144.50 = 102,310,144.50/x
  3. Step 3: Cross multiply
    47,751,144x = 102,310,144.50 × 102,310,144.50
  4. Step 4: Simplify right side
    47,751,144x = 10,467,365,667,610,880
  5. Step 5: Solve for x
    x = 10,467,365,667,610,880/47,751,144
  6. Step 6: Final answer
    x = 219,206,594.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.