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Finding the Third Proportional to 121,830,366 and 263,081,838

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Solution

The third proportional to 121,830,366 and 263,081,838 is: 568,101,826.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,830,366 : 263,081,838 = 263,081,838 : x
  2. Step 2: Convert to fraction form
    121,830,366/263,081,838 = 263,081,838/x
  3. Step 3: Cross multiply
    121,830,366x = 263,081,838 × 263,081,838
  4. Step 4: Simplify right side
    121,830,366x = 69,212,053,485,458,240
  5. Step 5: Solve for x
    x = 69,212,053,485,458,240/121,830,366
  6. Step 6: Final answer
    x = 568,101,826.81

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.