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Finding the Third Proportional to 159,803,747,290 and 347,739,398,649

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Solution

The third proportional to 159,803,747,290 and 347,739,398,649 is: 756,694,955,052.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,803,747,290 : 347,739,398,649 = 347,739,398,649 : x
  2. Step 2: Convert to fraction form
    159,803,747,290/347,739,398,649 = 347,739,398,649/x
  3. Step 3: Cross multiply
    159,803,747,290x = 347,739,398,649 × 347,739,398,649
  4. Step 4: Simplify right side
    159,803,747,290x = 120,922,689,372,768,140,525,568
  5. Step 5: Solve for x
    x = 120,922,689,372,768,140,525,568/159,803,747,290
  6. Step 6: Final answer
    x = 756,694,955,052.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.