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Finding the Third Proportional to 47,851,150 and 104,965,623

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Solution

The third proportional to 47,851,150 and 104,965,623 is: 230,251,143.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,851,150 : 104,965,623 = 104,965,623 : x
  2. Step 2: Convert to fraction form
    47,851,150/104,965,623 = 104,965,623/x
  3. Step 3: Cross multiply
    47,851,150x = 104,965,623 × 104,965,623
  4. Step 4: Simplify right side
    47,851,150x = 11,017,782,011,778,128
  5. Step 5: Solve for x
    x = 11,017,782,011,778,128/47,851,150
  6. Step 6: Final answer
    x = 230,251,143.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.