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Finding the Third Proportional to 256,166,780 and 551,238,832

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Solution

The third proportional to 256,166,780 and 551,238,832 is: 1,186,196,937.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,166,780 : 551,238,832 = 551,238,832 : x
  2. Step 2: Convert to fraction form
    256,166,780/551,238,832 = 551,238,832/x
  3. Step 3: Cross multiply
    256,166,780x = 551,238,832 × 551,238,832
  4. Step 4: Simplify right side
    256,166,780x = 303,864,249,904,724,224
  5. Step 5: Solve for x
    x = 303,864,249,904,724,224/256,166,780
  6. Step 6: Final answer
    x = 1,186,196,937.42

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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.