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Finding the Third Proportional to 41,129,041 and 89,338,138

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Solution

The third proportional to 41,129,041 and 89,338,138 is: 194,055,166.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,129,041 : 89,338,138 = 89,338,138 : x
  2. Step 2: Convert to fraction form
    41,129,041/89,338,138 = 89,338,138/x
  3. Step 3: Cross multiply
    41,129,041x = 89,338,138 × 89,338,138
  4. Step 4: Simplify right side
    41,129,041x = 7,981,302,901,307,044
  5. Step 5: Solve for x
    x = 7,981,302,901,307,044/41,129,041
  6. Step 6: Final answer
    x = 194,055,166.55

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Why These Related Problems?

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