Finding the Third Proportional to 107,849,706,176 and 234,471,230,176
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Solution
The third proportional to 107,849,706,176 and 234,471,230,176 is: 509,753,431,228.92
Step by Step Solution
- Step 1: Write the proportion equation
107,849,706,176 : 234,471,230,176 = 234,471,230,176 : x - Step 2: Convert to fraction form
107,849,706,176/234,471,230,176 = 234,471,230,176/x - Step 3: Cross multiply
107,849,706,176x = 234,471,230,176 × 234,471,230,176 - Step 4: Simplify right side
107,849,706,176x = 54,976,757,780,246,769,434,624 - Step 5: Solve for x
x = 54,976,757,780,246,769,434,624/107,849,706,176 - Step 6: Final answer
x = 509,753,431,228.92
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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.