Finding the Third Proportional to 227,133,186.75 and 493,030,686.09
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Solution
The third proportional to 227,133,186.75 and 493,030,686.09 is: 1,070,205,815.84
Step by Step Solution
- Step 1: Write the proportion equation
227,133,186.75 : 493,030,686.09 = 493,030,686.09 : x - Step 2: Convert to fraction form
227,133,186.75/493,030,686.09 = 493,030,686.09/x - Step 3: Cross multiply
227,133,186.75x = 493,030,686.09 × 493,030,686.09 - Step 4: Simplify right side
227,133,186.75x = 243,079,257,430,073,856 - Step 5: Solve for x
x = 243,079,257,430,073,856/227,133,186.75 - Step 6: Final answer
x = 1,070,205,815.84
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.