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Finding the Third Proportional to 185,116,761 and 384,582,333

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Solution

The third proportional to 185,116,761 and 384,582,333 is: 798,974,496.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,116,761 : 384,582,333 = 384,582,333 : x
  2. Step 2: Convert to fraction form
    185,116,761/384,582,333 = 384,582,333/x
  3. Step 3: Cross multiply
    185,116,761x = 384,582,333 × 384,582,333
  4. Step 4: Simplify right side
    185,116,761x = 147,903,570,855,722,880
  5. Step 5: Solve for x
    x = 147,903,570,855,722,880/185,116,761
  6. Step 6: Final answer
    x = 798,974,496.19

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.