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Finding the Third Proportional to 101,845,200 and 208,396,824

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Solution

The third proportional to 101,845,200 and 208,396,824 is: 426,423,987.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,845,200 : 208,396,824 = 208,396,824 : x
  2. Step 2: Convert to fraction form
    101,845,200/208,396,824 = 208,396,824/x
  3. Step 3: Cross multiply
    101,845,200x = 208,396,824 × 208,396,824
  4. Step 4: Simplify right side
    101,845,200x = 43,429,236,253,286,976
  5. Step 5: Solve for x
    x = 43,429,236,253,286,976/101,845,200
  6. Step 6: Final answer
    x = 426,423,987.12

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.