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Finding the Third Proportional to 48,378,517 and 104,453,114

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Solution

The third proportional to 48,378,517 and 104,453,114 is: 225,522,684.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,378,517 : 104,453,114 = 104,453,114 : x
  2. Step 2: Convert to fraction form
    48,378,517/104,453,114 = 104,453,114/x
  3. Step 3: Cross multiply
    48,378,517x = 104,453,114 × 104,453,114
  4. Step 4: Simplify right side
    48,378,517x = 10,910,453,024,296,996
  5. Step 5: Solve for x
    x = 10,910,453,024,296,996/48,378,517
  6. Step 6: Final answer
    x = 225,522,684.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.