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Finding the Third Proportional to 55,218,433 and 120,133,051

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Solution

The third proportional to 55,218,433 and 120,133,051 is: 261,361,091.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,218,433 : 120,133,051 = 120,133,051 : x
  2. Step 2: Convert to fraction form
    55,218,433/120,133,051 = 120,133,051/x
  3. Step 3: Cross multiply
    55,218,433x = 120,133,051 × 120,133,051
  4. Step 4: Simplify right side
    55,218,433x = 14,431,949,942,568,600
  5. Step 5: Solve for x
    x = 14,431,949,942,568,600/55,218,433
  6. Step 6: Final answer
    x = 261,361,091.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.