Finding the Third Proportional to 103,964,271,920 and 227,859,175,952
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Solution
The third proportional to 103,964,271,920 and 227,859,175,952 is: 499,400,448,891.49
Step by Step Solution
- Step 1: Write the proportion equation
103,964,271,920 : 227,859,175,952 = 227,859,175,952 : x - Step 2: Convert to fraction form
103,964,271,920/227,859,175,952 = 227,859,175,952/x - Step 3: Cross multiply
103,964,271,920x = 227,859,175,952 × 227,859,175,952 - Step 4: Simplify right side
103,964,271,920x = 51,919,804,065,524,494,630,912 - Step 5: Solve for x
x = 51,919,804,065,524,494,630,912/103,964,271,920 - Step 6: Final answer
x = 499,400,448,891.49
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.