Finding the Third Proportional to 259,969,283,860.50 and 566,090,786,074.50
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Solution
The third proportional to 259,969,283,860.50 and 566,090,786,074.50 is: 1,232,679,389,348.18
Step by Step Solution
- Step 1: Write the proportion equation
259,969,283,860.50 : 566,090,786,074.50 = 566,090,786,074.50 : x - Step 2: Convert to fraction form
259,969,283,860.50/566,090,786,074.50 = 566,090,786,074.50/x - Step 3: Cross multiply
259,969,283,860.50x = 566,090,786,074.50 × 566,090,786,074.50 - Step 4: Simplify right side
259,969,283,860.50x = 320,458,778,078,445,293,273,088 - Step 5: Solve for x
x = 320,458,778,078,445,293,273,088/259,969,283,860.50 - Step 6: Final answer
x = 1,232,679,389,348.18
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.