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Finding the Third Proportional to 106,207,968 and 160,288,974

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Solution

The third proportional to 106,207,968 and 160,288,974 is: 241,907,981.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,207,968 : 160,288,974 = 160,288,974 : x
  2. Step 2: Convert to fraction form
    106,207,968/160,288,974 = 160,288,974/x
  3. Step 3: Cross multiply
    106,207,968x = 160,288,974 × 160,288,974
  4. Step 4: Simplify right side
    106,207,968x = 25,692,555,185,972,676
  5. Step 5: Solve for x
    x = 25,692,555,185,972,676/106,207,968
  6. Step 6: Final answer
    x = 241,907,981.76

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