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Finding the Third Proportional to 48,684,715 and 102,801,937

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Solution

The third proportional to 48,684,715 and 102,801,937 is: 217,075,076.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,684,715 : 102,801,937 = 102,801,937 : x
  2. Step 2: Convert to fraction form
    48,684,715/102,801,937 = 102,801,937/x
  3. Step 3: Cross multiply
    48,684,715x = 102,801,937 × 102,801,937
  4. Step 4: Simplify right side
    48,684,715x = 10,568,238,250,951,968
  5. Step 5: Solve for x
    x = 10,568,238,250,951,968/48,684,715
  6. Step 6: Final answer
    x = 217,075,076.87

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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.