Finding the Third Proportional to 144,207,179,776 and 211,990,951,473.75
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Solution
The third proportional to 144,207,179,776 and 211,990,951,473.75 is: 311,636,102,838.65
Step by Step Solution
- Step 1: Write the proportion equation
144,207,179,776 : 211,990,951,473.75 = 211,990,951,473.75 : x - Step 2: Convert to fraction form
144,207,179,776/211,990,951,473.75 = 211,990,951,473.75/x - Step 3: Cross multiply
144,207,179,776x = 211,990,951,473.75 × 211,990,951,473.75 - Step 4: Simplify right side
144,207,179,776x = 44,940,163,506,745,825,558,528 - Step 5: Solve for x
x = 44,940,163,506,745,825,558,528/144,207,179,776 - Step 6: Final answer
x = 311,636,102,838.65
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Why These Related Problems?
These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.