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Finding the Third Proportional to 159,059,369,178 and 246,969,993,735

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Solution

The third proportional to 159,059,369,178 and 246,969,993,735 is: 383,467,997,645.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,059,369,178 : 246,969,993,735 = 246,969,993,735 : x
  2. Step 2: Convert to fraction form
    159,059,369,178/246,969,993,735 = 246,969,993,735/x
  3. Step 3: Cross multiply
    159,059,369,178x = 246,969,993,735 × 246,969,993,735
  4. Step 4: Simplify right side
    159,059,369,178x = 60,994,177,805,465,935,675,392
  5. Step 5: Solve for x
    x = 60,994,177,805,465,935,675,392/159,059,369,178
  6. Step 6: Final answer
    x = 383,467,997,645.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.