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Finding the Third Proportional to 47,915,194 and 104,225,625

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Solution

The third proportional to 47,915,194 and 104,225,625 is: 226,712,656.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,915,194 : 104,225,625 = 104,225,625 : x
  2. Step 2: Convert to fraction form
    47,915,194/104,225,625 = 104,225,625/x
  3. Step 3: Cross multiply
    47,915,194x = 104,225,625 × 104,225,625
  4. Step 4: Simplify right side
    47,915,194x = 10,862,980,906,640,624
  5. Step 5: Solve for x
    x = 10,862,980,906,640,624/47,915,194
  6. Step 6: Final answer
    x = 226,712,656.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.