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Finding the Third Proportional to 48,684,722 and 102,801,950

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Solution

The third proportional to 48,684,722 and 102,801,950 is: 217,075,100.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,684,722 : 102,801,950 = 102,801,950 : x
  2. Step 2: Convert to fraction form
    48,684,722/102,801,950 = 102,801,950/x
  3. Step 3: Cross multiply
    48,684,722x = 102,801,950 × 102,801,950
  4. Step 4: Simplify right side
    48,684,722x = 10,568,240,923,802,500
  5. Step 5: Solve for x
    x = 10,568,240,923,802,500/48,684,722
  6. Step 6: Final answer
    x = 217,075,100.56

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.