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Finding the Third Proportional to 48,378,510 and 104,453,100

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Solution

The third proportional to 48,378,510 and 104,453,100 is: 225,522,656.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,378,510 : 104,453,100 = 104,453,100 : x
  2. Step 2: Convert to fraction form
    48,378,510/104,453,100 = 104,453,100/x
  3. Step 3: Cross multiply
    48,378,510x = 104,453,100 × 104,453,100
  4. Step 4: Simplify right side
    48,378,510x = 10,910,450,099,610,000
  5. Step 5: Solve for x
    x = 10,910,450,099,610,000/48,378,510
  6. Step 6: Final answer
    x = 225,522,656.64

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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.