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Finding the Third Proportional to 246,728,376.50 and 541,878,384

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Solution

The third proportional to 246,728,376.50 and 541,878,384 is: 1,190,103,008.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,728,376.50 : 541,878,384 = 541,878,384 : x
  2. Step 2: Convert to fraction form
    246,728,376.50/541,878,384 = 541,878,384/x
  3. Step 3: Cross multiply
    246,728,376.50x = 541,878,384 × 541,878,384
  4. Step 4: Simplify right side
    246,728,376.50x = 293,632,183,046,451,456
  5. Step 5: Solve for x
    x = 293,632,183,046,451,456/246,728,376.50
  6. Step 6: Final answer
    x = 1,190,103,008.06

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.