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Finding the Third Proportional to 190,826,852 and 419,142,184

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Solution

The third proportional to 190,826,852 and 419,142,184 is: 920,626,046.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,826,852 : 419,142,184 = 419,142,184 : x
  2. Step 2: Convert to fraction form
    190,826,852/419,142,184 = 419,142,184/x
  3. Step 3: Cross multiply
    190,826,852x = 419,142,184 × 419,142,184
  4. Step 4: Simplify right side
    190,826,852x = 175,680,170,408,289,856
  5. Step 5: Solve for x
    x = 175,680,170,408,289,856/190,826,852
  6. Step 6: Final answer
    x = 920,626,046.95

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.