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Finding the Third Proportional to 111,141,177,075 and 149,955,541,946

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Solution

The third proportional to 111,141,177,075 and 149,955,541,946 is: 202,325,233,114.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,141,177,075 : 149,955,541,946 = 149,955,541,946 : x
  2. Step 2: Convert to fraction form
    111,141,177,075/149,955,541,946 = 149,955,541,946/x
  3. Step 3: Cross multiply
    111,141,177,075x = 149,955,541,946 × 149,955,541,946
  4. Step 4: Simplify right side
    111,141,177,075x = 22,486,664,560,318,565,318,656
  5. Step 5: Solve for x
    x = 22,486,664,560,318,565,318,656/111,141,177,075
  6. Step 6: Final answer
    x = 202,325,233,114.49

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.