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Finding the Third Proportional to 170,805,888,720 and 355,749,279,696

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Solution

The third proportional to 170,805,888,720 and 355,749,279,696 is: 740,943,716,593.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,805,888,720 : 355,749,279,696 = 355,749,279,696 : x
  2. Step 2: Convert to fraction form
    170,805,888,720/355,749,279,696 = 355,749,279,696/x
  3. Step 3: Cross multiply
    170,805,888,720x = 355,749,279,696 × 355,749,279,696
  4. Step 4: Simplify right side
    170,805,888,720x = 126,557,550,004,222,845,517,824
  5. Step 5: Solve for x
    x = 126,557,550,004,222,845,517,824/170,805,888,720
  6. Step 6: Final answer
    x = 740,943,716,593.33

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.