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Finding the Third Proportional to 43,311,114 and 96,305,895

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Solution

The third proportional to 43,311,114 and 96,305,895 is: 214,144,235.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,311,114 : 96,305,895 = 96,305,895 : x
  2. Step 2: Convert to fraction form
    43,311,114/96,305,895 = 96,305,895/x
  3. Step 3: Cross multiply
    43,311,114x = 96,305,895 × 96,305,895
  4. Step 4: Simplify right side
    43,311,114x = 9,274,825,411,751,024
  5. Step 5: Solve for x
    x = 9,274,825,411,751,024/43,311,114
  6. Step 6: Final answer
    x = 214,144,235.86

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.