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Finding the Third Proportional to 84,380,535 and 126,795,496.50

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Solution

The third proportional to 84,380,535 and 126,795,496.50 is: 190,530,884.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,380,535 : 126,795,496.50 = 126,795,496.50 : x
  2. Step 2: Convert to fraction form
    84,380,535/126,795,496.50 = 126,795,496.50/x
  3. Step 3: Cross multiply
    84,380,535x = 126,795,496.50 × 126,795,496.50
  4. Step 4: Simplify right side
    84,380,535x = 16,077,097,932,681,512
  5. Step 5: Solve for x
    x = 16,077,097,932,681,512/84,380,535
  6. Step 6: Final answer
    x = 190,530,884.08

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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.