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Finding the Third Proportional to 51,166,852 and 104,389,052

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Solution

The third proportional to 51,166,852 and 104,389,052 is: 212,971,362.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,166,852 : 104,389,052 = 104,389,052 : x
  2. Step 2: Convert to fraction form
    51,166,852/104,389,052 = 104,389,052/x
  3. Step 3: Cross multiply
    51,166,852x = 104,389,052 × 104,389,052
  4. Step 4: Simplify right side
    51,166,852x = 10,897,074,177,458,704
  5. Step 5: Solve for x
    x = 10,897,074,177,458,704/51,166,852
  6. Step 6: Final answer
    x = 212,971,362.35

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.