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Finding the Third Proportional to 84,380,539.75 and 126,795,503.75

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Solution

The third proportional to 84,380,539.75 and 126,795,503.75 is: 190,530,895.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,380,539.75 : 126,795,503.75 = 126,795,503.75 : x
  2. Step 2: Convert to fraction form
    84,380,539.75/126,795,503.75 = 126,795,503.75/x
  3. Step 3: Cross multiply
    84,380,539.75x = 126,795,503.75 × 126,795,503.75
  4. Step 4: Simplify right side
    84,380,539.75x = 16,077,099,771,216,264
  5. Step 5: Solve for x
    x = 16,077,099,771,216,264/84,380,539.75
  6. Step 6: Final answer
    x = 190,530,895.14

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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.