Finding the Third Proportional to 83,178,344 and 185,482,072
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Solution
The third proportional to 83,178,344 and 185,482,072 is: 413,612,454.62
Step by Step Solution
- Step 1: Write the proportion equation
83,178,344 : 185,482,072 = 185,482,072 : x - Step 2: Convert to fraction form
83,178,344/185,482,072 = 185,482,072/x - Step 3: Cross multiply
83,178,344x = 185,482,072 × 185,482,072 - Step 4: Simplify right side
83,178,344x = 34,403,599,033,413,184 - Step 5: Solve for x
x = 34,403,599,033,413,184/83,178,344 - Step 6: Final answer
x = 413,612,454.62
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Why These Related Problems?
These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.