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Finding the Third Proportional to 174,581,740 and 262,601,489

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Solution

The third proportional to 174,581,740 and 262,601,489 is: 394,998,595.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,581,740 : 262,601,489 = 262,601,489 : x
  2. Step 2: Convert to fraction form
    174,581,740/262,601,489 = 262,601,489/x
  3. Step 3: Cross multiply
    174,581,740x = 262,601,489 × 262,601,489
  4. Step 4: Simplify right side
    174,581,740x = 68,959,542,025,017,120
  5. Step 5: Solve for x
    x = 68,959,542,025,017,120/174,581,740
  6. Step 6: Final answer
    x = 394,998,595.07

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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.