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Finding the Third Proportional to 190,181,058,260.50 and 414,534,023,759

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Solution

The third proportional to 190,181,058,260.50 and 414,534,023,759 is: 903,551,901,674.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,181,058,260.50 : 414,534,023,759 = 414,534,023,759 : x
  2. Step 2: Convert to fraction form
    190,181,058,260.50/414,534,023,759 = 414,534,023,759/x
  3. Step 3: Cross multiply
    190,181,058,260.50x = 414,534,023,759 × 414,534,023,759
  4. Step 4: Simplify right side
    190,181,058,260.50x = 171,838,456,853,827,187,376,128
  5. Step 5: Solve for x
    x = 171,838,456,853,827,187,376,128/190,181,058,260.50
  6. Step 6: Final answer
    x = 903,551,901,674.94

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