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Finding the Third Proportional to 160,465,267,906.45 and 349,763,082,544.97

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Solution

The third proportional to 160,465,267,906.45 and 349,763,082,544.97 is: 762,371,917,034.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,465,267,906.45 : 349,763,082,544.97 = 349,763,082,544.97 : x
  2. Step 2: Convert to fraction form
    160,465,267,906.45/349,763,082,544.97 = 349,763,082,544.97/x
  3. Step 3: Cross multiply
    160,465,267,906.45x = 349,763,082,544.97 × 349,763,082,544.97
  4. Step 4: Simplify right side
    160,465,267,906.45x = 122,334,213,911,359,480,922,112
  5. Step 5: Solve for x
    x = 122,334,213,911,359,480,922,112/160,465,267,906.45
  6. Step 6: Final answer
    x = 762,371,917,034.90

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