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Finding the Third Proportional to 164,313,847.27 and 255,892,845.30

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Solution

The third proportional to 164,313,847.27 and 255,892,845.30 is: 398,512,659.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,313,847.27 : 255,892,845.30 = 255,892,845.30 : x
  2. Step 2: Convert to fraction form
    164,313,847.27/255,892,845.30 = 255,892,845.30/x
  3. Step 3: Cross multiply
    164,313,847.27x = 255,892,845.30 × 255,892,845.30
  4. Step 4: Simplify right side
    164,313,847.27x = 65,481,148,278,130,008
  5. Step 5: Solve for x
    x = 65,481,148,278,130,008/164,313,847.27
  6. Step 6: Final answer
    x = 398,512,659.57

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.