Finding the Third Proportional to 164,436,907,000 and 261,651,445,176
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Solution
The third proportional to 164,436,907,000 and 261,651,445,176 is: 416,338,886,517.06
Step by Step Solution
- Step 1: Write the proportion equation
164,436,907,000 : 261,651,445,176 = 261,651,445,176 : x - Step 2: Convert to fraction form
164,436,907,000/261,651,445,176 = 261,651,445,176/x - Step 3: Cross multiply
164,436,907,000x = 261,651,445,176 × 261,651,445,176 - Step 4: Simplify right side
164,436,907,000x = 68,461,478,762,689,333,297,152 - Step 5: Solve for x
x = 68,461,478,762,689,333,297,152/164,436,907,000 - Step 6: Final answer
x = 416,338,886,517.06
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Why These Related Problems?
These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.