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Finding the Third Proportional to 41,077,102 and 89,003,834

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Solution

The third proportional to 41,077,102 and 89,003,834 is: 192,849,107.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,077,102 : 89,003,834 = 89,003,834 : x
  2. Step 2: Convert to fraction form
    41,077,102/89,003,834 = 89,003,834/x
  3. Step 3: Cross multiply
    41,077,102x = 89,003,834 × 89,003,834
  4. Step 4: Simplify right side
    41,077,102x = 7,921,682,466,699,556
  5. Step 5: Solve for x
    x = 7,921,682,466,699,556/41,077,102
  6. Step 6: Final answer
    x = 192,849,107.68

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.