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Finding the Third Proportional to 42,106,831 and 91,628,152

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Solution

The third proportional to 42,106,831 and 91,628,152 is: 199,390,883.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,106,831 : 91,628,152 = 91,628,152 : x
  2. Step 2: Convert to fraction form
    42,106,831/91,628,152 = 91,628,152/x
  3. Step 3: Cross multiply
    42,106,831x = 91,628,152 × 91,628,152
  4. Step 4: Simplify right side
    42,106,831x = 8,395,718,238,935,104
  5. Step 5: Solve for x
    x = 8,395,718,238,935,104/42,106,831
  6. Step 6: Final answer
    x = 199,390,883.61

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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.