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Finding the Third Proportional to 185,136,466 and 398,135,258

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Solution

The third proportional to 185,136,466 and 398,135,258 is: 856,188,340.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,136,466 : 398,135,258 = 398,135,258 : x
  2. Step 2: Convert to fraction form
    185,136,466/398,135,258 = 398,135,258/x
  3. Step 3: Cross multiply
    185,136,466x = 398,135,258 × 398,135,258
  4. Step 4: Simplify right side
    185,136,466x = 158,511,683,662,726,560
  5. Step 5: Solve for x
    x = 158,511,683,662,726,560/185,136,466
  6. Step 6: Final answer
    x = 856,188,340.89

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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.