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Finding the Third Proportional to 256,166,775 and 551,238,822

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Solution

The third proportional to 256,166,775 and 551,238,822 is: 1,186,196,917.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,166,775 : 551,238,822 = 551,238,822 : x
  2. Step 2: Convert to fraction form
    256,166,775/551,238,822 = 551,238,822/x
  3. Step 3: Cross multiply
    256,166,775x = 551,238,822 × 551,238,822
  4. Step 4: Simplify right side
    256,166,775x = 303,864,238,879,947,712
  5. Step 5: Solve for x
    x = 303,864,238,879,947,712/256,166,775
  6. Step 6: Final answer
    x = 1,186,196,917.54

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Why These Related Problems?

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