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Finding the Third Proportional to 185,259,102 and 394,478,652

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Solution

The third proportional to 185,259,102 and 394,478,652 is: 839,977,119.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,259,102 : 394,478,652 = 394,478,652 : x
  2. Step 2: Convert to fraction form
    185,259,102/394,478,652 = 394,478,652/x
  3. Step 3: Cross multiply
    185,259,102x = 394,478,652 × 394,478,652
  4. Step 4: Simplify right side
    185,259,102x = 155,613,406,883,737,088
  5. Step 5: Solve for x
    x = 155,613,406,883,737,088/185,259,102
  6. Step 6: Final answer
    x = 839,977,119.63

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.