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Finding the Third Proportional to 190,181,058,259.50 and 414,534,023,757

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Solution

The third proportional to 190,181,058,259.50 and 414,534,023,757 is: 903,551,901,670.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,181,058,259.50 : 414,534,023,757 = 414,534,023,757 : x
  2. Step 2: Convert to fraction form
    190,181,058,259.50/414,534,023,757 = 414,534,023,757/x
  3. Step 3: Cross multiply
    190,181,058,259.50x = 414,534,023,757 × 414,534,023,757
  4. Step 4: Simplify right side
    190,181,058,259.50x = 171,838,456,852,169,028,009,984
  5. Step 5: Solve for x
    x = 171,838,456,852,169,028,009,984/190,181,058,259.50
  6. Step 6: Final answer
    x = 903,551,901,670.97

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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.