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Finding the Third Proportional to 354,235,190.20 and 768,683,445.33

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Solution

The third proportional to 354,235,190.20 and 768,683,445.33 is: 1,668,028,065.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,235,190.20 : 768,683,445.33 = 768,683,445.33 : x
  2. Step 2: Convert to fraction form
    354,235,190.20/768,683,445.33 = 768,683,445.33/x
  3. Step 3: Cross multiply
    354,235,190.20x = 768,683,445.33 × 768,683,445.33
  4. Step 4: Simplify right side
    354,235,190.20x = 590,874,239,121,508,864
  5. Step 5: Solve for x
    x = 590,874,239,121,508,864/354,235,190.20
  6. Step 6: Final answer
    x = 1,668,028,065.71

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.