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Finding the Third Proportional to 126,889,694,598 and 191,969,187,969

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Solution

The third proportional to 126,889,694,598 and 191,969,187,969 is: 290,426,809,255.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,889,694,598 : 191,969,187,969 = 191,969,187,969 : x
  2. Step 2: Convert to fraction form
    126,889,694,598/191,969,187,969 = 191,969,187,969/x
  3. Step 3: Cross multiply
    126,889,694,598x = 191,969,187,969 × 191,969,187,969
  4. Step 4: Simplify right side
    126,889,694,598x = 36,852,169,129,477,252,579,328
  5. Step 5: Solve for x
    x = 36,852,169,129,477,252,579,328/126,889,694,598
  6. Step 6: Final answer
    x = 290,426,809,255.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.