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Finding the Third Proportional to 48,768,830 and 104,878,204

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Solution

The third proportional to 48,768,830 and 104,878,204 is: 225,542,373.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,768,830 : 104,878,204 = 104,878,204 : x
  2. Step 2: Convert to fraction form
    48,768,830/104,878,204 = 104,878,204/x
  3. Step 3: Cross multiply
    48,768,830x = 104,878,204 × 104,878,204
  4. Step 4: Simplify right side
    48,768,830x = 10,999,437,674,265,616
  5. Step 5: Solve for x
    x = 10,999,437,674,265,616/48,768,830
  6. Step 6: Final answer
    x = 225,542,373.57

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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.