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Finding the Third Proportional to 190,181,058,282 and 414,534,023,796

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Solution

The third proportional to 190,181,058,282 and 414,534,023,796 is: 903,551,901,734.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,181,058,282 : 414,534,023,796 = 414,534,023,796 : x
  2. Step 2: Convert to fraction form
    190,181,058,282/414,534,023,796 = 414,534,023,796/x
  3. Step 3: Cross multiply
    190,181,058,282x = 414,534,023,796 × 414,534,023,796
  4. Step 4: Simplify right side
    190,181,058,282x = 171,838,456,884,502,682,664,960
  5. Step 5: Solve for x
    x = 171,838,456,884,502,682,664,960/190,181,058,282
  6. Step 6: Final answer
    x = 903,551,901,734.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.