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Finding the Third Proportional to 49,563,144 and 107,362,152

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Solution

The third proportional to 49,563,144 and 107,362,152 is: 232,564,578.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,563,144 : 107,362,152 = 107,362,152 : x
  2. Step 2: Convert to fraction form
    49,563,144/107,362,152 = 107,362,152/x
  3. Step 3: Cross multiply
    49,563,144x = 107,362,152 × 107,362,152
  4. Step 4: Simplify right side
    49,563,144x = 11,526,631,682,071,104
  5. Step 5: Solve for x
    x = 11,526,631,682,071,104/49,563,144
  6. Step 6: Final answer
    x = 232,564,578.27

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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.