Finding the Third Proportional to 149,325,928,753.50 and 218,319,729,489
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Solution
The third proportional to 149,325,928,753.50 and 218,319,729,489 is: 319,191,078,749.83
Step by Step Solution
- Step 1: Write the proportion equation
149,325,928,753.50 : 218,319,729,489 = 218,319,729,489 : x - Step 2: Convert to fraction form
149,325,928,753.50/218,319,729,489 = 218,319,729,489/x - Step 3: Cross multiply
149,325,928,753.50x = 218,319,729,489 × 218,319,729,489 - Step 4: Simplify right side
149,325,928,753.50x = 47,663,504,284,150,134,734,848 - Step 5: Solve for x
x = 47,663,504,284,150,134,734,848/149,325,928,753.50 - Step 6: Final answer
x = 319,191,078,749.83
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Why These Related Problems?
These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.