Finding the Third Proportional to 231,956,588,502 and 499,363,365,888
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Solution
The third proportional to 231,956,588,502 and 499,363,365,888 is: 1,075,045,002,176.53
Step by Step Solution
- Step 1: Write the proportion equation
231,956,588,502 : 499,363,365,888 = 499,363,365,888 : x - Step 2: Convert to fraction form
231,956,588,502/499,363,365,888 = 499,363,365,888/x - Step 3: Cross multiply
231,956,588,502x = 499,363,365,888 × 499,363,365,888 - Step 4: Simplify right side
231,956,588,502x = 249,363,771,190,992,560,979,968 - Step 5: Solve for x
x = 249,363,771,190,992,560,979,968/231,956,588,502 - Step 6: Final answer
x = 1,075,045,002,176.53
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.