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Finding the Third Proportional to 48,768,828 and 104,878,200

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Solution

The third proportional to 48,768,828 and 104,878,200 is: 225,542,365.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,768,828 : 104,878,200 = 104,878,200 : x
  2. Step 2: Convert to fraction form
    48,768,828/104,878,200 = 104,878,200/x
  3. Step 3: Cross multiply
    48,768,828x = 104,878,200 × 104,878,200
  4. Step 4: Simplify right side
    48,768,828x = 10,999,436,835,240,000
  5. Step 5: Solve for x
    x = 10,999,436,835,240,000/48,768,828
  6. Step 6: Final answer
    x = 225,542,365.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.