Finding the Third Proportional to 216,176,211,418 and 450,245,195,658
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Solution
The third proportional to 216,176,211,418 and 450,245,195,658 is: 937,756,910,824.61
Step by Step Solution
- Step 1: Write the proportion equation
216,176,211,418 : 450,245,195,658 = 450,245,195,658 : x - Step 2: Convert to fraction form
216,176,211,418/450,245,195,658 = 450,245,195,658/x - Step 3: Cross multiply
216,176,211,418x = 450,245,195,658 × 450,245,195,658 - Step 4: Simplify right side
216,176,211,418x = 202,720,736,213,110,704,046,080 - Step 5: Solve for x
x = 202,720,736,213,110,704,046,080/216,176,211,418 - Step 6: Final answer
x = 937,756,910,824.61
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Why These Related Problems?
These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.