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Finding the Third Proportional to 47,938,790 and 104,846,188

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Solution

The third proportional to 47,938,790 and 104,846,188 is: 229,307,480.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,938,790 : 104,846,188 = 104,846,188 : x
  2. Step 2: Convert to fraction form
    47,938,790/104,846,188 = 104,846,188/x
  3. Step 3: Cross multiply
    47,938,790x = 104,846,188 × 104,846,188
  4. Step 4: Simplify right side
    47,938,790x = 10,992,723,138,131,344
  5. Step 5: Solve for x
    x = 10,992,723,138,131,344/47,938,790
  6. Step 6: Final answer
    x = 229,307,480.19

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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.