Finding the Third Proportional to 113,197,968,209 and 242,297,560,930
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Solution
The third proportional to 113,197,968,209 and 242,297,560,930 is: 518,632,171,243.86
Step by Step Solution
- Step 1: Write the proportion equation
113,197,968,209 : 242,297,560,930 = 242,297,560,930 : x - Step 2: Convert to fraction form
113,197,968,209/242,297,560,930 = 242,297,560,930/x - Step 3: Cross multiply
113,197,968,209x = 242,297,560,930 × 242,297,560,930 - Step 4: Simplify right side
113,197,968,209x = 58,708,108,032,627,062,079,488 - Step 5: Solve for x
x = 58,708,108,032,627,062,079,488/113,197,968,209 - Step 6: Final answer
x = 518,632,171,243.86
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.