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Finding the Third Proportional to 185,116,736 and 384,582,282

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Solution

The third proportional to 185,116,736 and 384,582,282 is: 798,974,392.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,116,736 : 384,582,282 = 384,582,282 : x
  2. Step 2: Convert to fraction form
    185,116,736/384,582,282 = 384,582,282/x
  3. Step 3: Cross multiply
    185,116,736x = 384,582,282 × 384,582,282
  4. Step 4: Simplify right side
    185,116,736x = 147,903,531,628,327,520
  5. Step 5: Solve for x
    x = 147,903,531,628,327,520/185,116,736
  6. Step 6: Final answer
    x = 798,974,392.18

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Why These Related Problems?

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