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Finding the Third Proportional to 49,481,906 and 102,358,034

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Solution

The third proportional to 49,481,906 and 102,358,034 is: 211,737,339.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,481,906 : 102,358,034 = 102,358,034 : x
  2. Step 2: Convert to fraction form
    49,481,906/102,358,034 = 102,358,034/x
  3. Step 3: Cross multiply
    49,481,906x = 102,358,034 × 102,358,034
  4. Step 4: Simplify right side
    49,481,906x = 10,477,167,124,345,156
  5. Step 5: Solve for x
    x = 10,477,167,124,345,156/49,481,906
  6. Step 6: Final answer
    x = 211,737,339.39

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.