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Finding the Third Proportional to 190,181,058,284 and 414,534,023,800

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Solution

The third proportional to 190,181,058,284 and 414,534,023,800 is: 903,551,901,742.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,181,058,284 : 414,534,023,800 = 414,534,023,800 : x
  2. Step 2: Convert to fraction form
    190,181,058,284/414,534,023,800 = 414,534,023,800/x
  3. Step 3: Cross multiply
    190,181,058,284x = 414,534,023,800 × 414,534,023,800
  4. Step 4: Simplify right side
    190,181,058,284x = 171,838,456,887,818,967,842,816
  5. Step 5: Solve for x
    x = 171,838,456,887,818,967,842,816/190,181,058,284
  6. Step 6: Final answer
    x = 903,551,901,742.02

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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.