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Finding the Third Proportional to 47,751,325.50 and 102,315,885

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Solution

The third proportional to 47,751,325.50 and 102,315,885 is: 219,230,360.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,751,325.50 : 102,315,885 = 102,315,885 : x
  2. Step 2: Convert to fraction form
    47,751,325.50/102,315,885 = 102,315,885/x
  3. Step 3: Cross multiply
    47,751,325.50x = 102,315,885 × 102,315,885
  4. Step 4: Simplify right side
    47,751,325.50x = 10,468,540,323,333,224
  5. Step 5: Solve for x
    x = 10,468,540,323,333,224/47,751,325.50
  6. Step 6: Final answer
    x = 219,230,360.91

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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.