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Finding the Third Proportional to 105,018,558,711 and 225,965,121,081

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Solution

The third proportional to 105,018,558,711 and 225,965,121,081 is: 486,202,025,355.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,018,558,711 : 225,965,121,081 = 225,965,121,081 : x
  2. Step 2: Convert to fraction form
    105,018,558,711/225,965,121,081 = 225,965,121,081/x
  3. Step 3: Cross multiply
    105,018,558,711x = 225,965,121,081 × 225,965,121,081
  4. Step 4: Simplify right side
    105,018,558,711x = 51,060,235,945,150,989,205,504
  5. Step 5: Solve for x
    x = 51,060,235,945,150,989,205,504/105,018,558,711
  6. Step 6: Final answer
    x = 486,202,025,355.00

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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.