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Finding the Third Proportional to 256,221,439,308 and 551,003,324,184

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Solution

The third proportional to 256,221,439,308 and 551,003,324,184 is: 1,184,930,753,967.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,221,439,308 : 551,003,324,184 = 551,003,324,184 : x
  2. Step 2: Convert to fraction form
    256,221,439,308/551,003,324,184 = 551,003,324,184/x
  3. Step 3: Cross multiply
    256,221,439,308x = 551,003,324,184 × 551,003,324,184
  4. Step 4: Simplify right side
    256,221,439,308x = 303,604,663,261,818,230,145,024
  5. Step 5: Solve for x
    x = 303,604,663,261,818,230,145,024/256,221,439,308
  6. Step 6: Final answer
    x = 1,184,930,753,967.31

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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.