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Finding the Third Proportional to 48,684,717 and 102,801,941

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Solution

The third proportional to 48,684,717 and 102,801,941 is: 217,075,084.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,684,717 : 102,801,941 = 102,801,941 : x
  2. Step 2: Convert to fraction form
    48,684,717/102,801,941 = 102,801,941/x
  3. Step 3: Cross multiply
    48,684,717x = 102,801,941 × 102,801,941
  4. Step 4: Simplify right side
    48,684,717x = 10,568,239,073,367,480
  5. Step 5: Solve for x
    x = 10,568,239,073,367,480/48,684,717
  6. Step 6: Final answer
    x = 217,075,084.84

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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.