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Finding the Third Proportional to 256,166,791 and 551,238,853

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Solution

The third proportional to 256,166,791 and 551,238,853 is: 1,186,196,976.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,166,791 : 551,238,853 = 551,238,853 : x
  2. Step 2: Convert to fraction form
    256,166,791/551,238,853 = 551,238,853/x
  3. Step 3: Cross multiply
    256,166,791x = 551,238,853 × 551,238,853
  4. Step 4: Simplify right side
    256,166,791x = 303,864,273,056,755,584
  5. Step 5: Solve for x
    x = 303,864,273,056,755,584/256,166,791
  6. Step 6: Final answer
    x = 1,186,196,976.86

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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.