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Finding the Third Proportional to 49,424,694 and 102,939,966

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Solution

The third proportional to 49,424,694 and 102,939,966 is: 214,399,639.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,424,694 : 102,939,966 = 102,939,966 : x
  2. Step 2: Convert to fraction form
    49,424,694/102,939,966 = 102,939,966/x
  3. Step 3: Cross multiply
    49,424,694x = 102,939,966 × 102,939,966
  4. Step 4: Simplify right side
    49,424,694x = 10,596,636,600,081,156
  5. Step 5: Solve for x
    x = 10,596,636,600,081,156/49,424,694
  6. Step 6: Final answer
    x = 214,399,639.99

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.