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Finding the Third Proportional to 49,563,165 and 107,362,193

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Solution

The third proportional to 49,563,165 and 107,362,193 is: 232,564,657.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,563,165 : 107,362,193 = 107,362,193 : x
  2. Step 2: Convert to fraction form
    49,563,165/107,362,193 = 107,362,193/x
  3. Step 3: Cross multiply
    49,563,165x = 107,362,193 × 107,362,193
  4. Step 4: Simplify right side
    49,563,165x = 11,526,640,485,769,248
  5. Step 5: Solve for x
    x = 11,526,640,485,769,248/49,563,165
  6. Step 6: Final answer
    x = 232,564,657.36

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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.