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Finding the Third Proportional to 47,851,131 and 104,965,584

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Solution

The third proportional to 47,851,131 and 104,965,584 is: 230,251,063.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,851,131 : 104,965,584 = 104,965,584 : x
  2. Step 2: Convert to fraction form
    47,851,131/104,965,584 = 104,965,584/x
  3. Step 3: Cross multiply
    47,851,131x = 104,965,584 × 104,965,584
  4. Step 4: Simplify right side
    47,851,131x = 11,017,773,824,461,056
  5. Step 5: Solve for x
    x = 11,017,773,824,461,056/47,851,131
  6. Step 6: Final answer
    x = 230,251,063.96

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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.