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Finding the Third Proportional to 84,380,508 and 126,795,465

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Solution

The third proportional to 84,380,508 and 126,795,465 is: 190,530,850.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,380,508 : 126,795,465 = 126,795,465 : x
  2. Step 2: Convert to fraction form
    84,380,508/126,795,465 = 126,795,465/x
  3. Step 3: Cross multiply
    84,380,508x = 126,795,465 × 126,795,465
  4. Step 4: Simplify right side
    84,380,508x = 16,077,089,944,566,224
  5. Step 5: Solve for x
    x = 16,077,089,944,566,224/84,380,508
  6. Step 6: Final answer
    x = 190,530,850.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.