Finding the Third Proportional to 199,050,748,514 and 438,674,379,862
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Solution
The third proportional to 199,050,748,514 and 438,674,379,862 is: 966,764,571,265.98
Step by Step Solution
- Step 1: Write the proportion equation
199,050,748,514 : 438,674,379,862 = 438,674,379,862 : x - Step 2: Convert to fraction form
199,050,748,514/438,674,379,862 = 438,674,379,862/x - Step 3: Cross multiply
199,050,748,514x = 438,674,379,862 × 438,674,379,862 - Step 4: Simplify right side
199,050,748,514x = 192,435,211,547,310,257,340,416 - Step 5: Solve for x
x = 192,435,211,547,310,257,340,416/199,050,748,514 - Step 6: Final answer
x = 966,764,571,265.98
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Why These Related Problems?
These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.