Finding the Third Proportional to 200,545,674,450 and 303,397,803,835
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Solution
The third proportional to 200,545,674,450 and 303,397,803,835 is: 458,998,817,223.81
Step by Step Solution
- Step 1: Write the proportion equation
200,545,674,450 : 303,397,803,835 = 303,397,803,835 : x - Step 2: Convert to fraction form
200,545,674,450/303,397,803,835 = 303,397,803,835/x - Step 3: Cross multiply
200,545,674,450x = 303,397,803,835 × 303,397,803,835 - Step 4: Simplify right side
200,545,674,450x = 92,050,227,371,901,133,520,896 - Step 5: Solve for x
x = 92,050,227,371,901,133,520,896/200,545,674,450 - Step 6: Final answer
x = 458,998,817,223.81
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Why These Related Problems?
These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.