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Finding the Third Proportional to 297,178,911 and 450,256,086

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Solution

The third proportional to 297,178,911 and 450,256,086 is: 682,183,477.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,178,911 : 450,256,086 = 450,256,086 : x
  2. Step 2: Convert to fraction form
    297,178,911/450,256,086 = 450,256,086/x
  3. Step 3: Cross multiply
    297,178,911x = 450,256,086 × 450,256,086
  4. Step 4: Simplify right side
    297,178,911x = 202,730,542,980,039,392
  5. Step 5: Solve for x
    x = 202,730,542,980,039,392/297,178,911
  6. Step 6: Final answer
    x = 682,183,477.62

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.