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Finding the Third Proportional to 50,930,370 and 110,321,743.22

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Solution

The third proportional to 50,930,370 and 110,321,743.22 is: 238,971,109.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,930,370 : 110,321,743.22 = 110,321,743.22 : x
  2. Step 2: Convert to fraction form
    50,930,370/110,321,743.22 = 110,321,743.22/x
  3. Step 3: Cross multiply
    50,930,370x = 110,321,743.22 × 110,321,743.22
  4. Step 4: Simplify right side
    50,930,370x = 12,170,887,026,823,812
  5. Step 5: Solve for x
    x = 12,170,887,026,823,812/50,930,370
  6. Step 6: Final answer
    x = 238,971,109.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.