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Finding the Third Proportional to 47,751,325 and 102,315,883

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Solution

The third proportional to 47,751,325 and 102,315,883 is: 219,230,354.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,751,325 : 102,315,883 = 102,315,883 : x
  2. Step 2: Convert to fraction form
    47,751,325/102,315,883 = 102,315,883/x
  3. Step 3: Cross multiply
    47,751,325x = 102,315,883 × 102,315,883
  4. Step 4: Simplify right side
    47,751,325x = 10,468,539,914,069,688
  5. Step 5: Solve for x
    x = 10,468,539,914,069,688/47,751,325
  6. Step 6: Final answer
    x = 219,230,354.64

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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.