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Finding the Third Proportional to 185,136,399 and 398,135,178

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Solution

The third proportional to 185,136,399 and 398,135,178 is: 856,188,306.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,136,399 : 398,135,178 = 398,135,178 : x
  2. Step 2: Convert to fraction form
    185,136,399/398,135,178 = 398,135,178/x
  3. Step 3: Cross multiply
    185,136,399x = 398,135,178 × 398,135,178
  4. Step 4: Simplify right side
    185,136,399x = 158,511,619,961,091,680
  5. Step 5: Solve for x
    x = 158,511,619,961,091,680/185,136,399
  6. Step 6: Final answer
    x = 856,188,306.66

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.