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Finding the Third Proportional to 51,009,504 and 109,296,182

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Solution

The third proportional to 51,009,504 and 109,296,182 is: 234,184,896.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,009,504 : 109,296,182 = 109,296,182 : x
  2. Step 2: Convert to fraction form
    51,009,504/109,296,182 = 109,296,182/x
  3. Step 3: Cross multiply
    51,009,504x = 109,296,182 × 109,296,182
  4. Step 4: Simplify right side
    51,009,504x = 11,945,655,399,777,124
  5. Step 5: Solve for x
    x = 11,945,655,399,777,124/51,009,504
  6. Step 6: Final answer
    x = 234,184,896.21

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.