Finding the Third Proportional to 193,471,718,613.10 and 420,911,296,252.90
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Solution
The third proportional to 193,471,718,613.10 and 420,911,296,252.90 is: 915,722,052,728.49
Step by Step Solution
- Step 1: Write the proportion equation
193,471,718,613.10 : 420,911,296,252.90 = 420,911,296,252.90 : x - Step 2: Convert to fraction form
193,471,718,613.10/420,911,296,252.90 = 420,911,296,252.90/x - Step 3: Cross multiply
193,471,718,613.10x = 420,911,296,252.90 × 420,911,296,252.90 - Step 4: Simplify right side
193,471,718,613.10x = 177,166,319,313,296,577,003,520 - Step 5: Solve for x
x = 177,166,319,313,296,577,003,520/193,471,718,613.10 - Step 6: Final answer
x = 915,722,052,728.49
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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.