Finding the Third Proportional to 176,994,814,248 and 389,293,320,546
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Solution
The third proportional to 176,994,814,248 and 389,293,320,546 is: 856,235,760,723.39
Step by Step Solution
- Step 1: Write the proportion equation
176,994,814,248 : 389,293,320,546 = 389,293,320,546 : x - Step 2: Convert to fraction form
176,994,814,248/389,293,320,546 = 389,293,320,546/x - Step 3: Cross multiply
176,994,814,248x = 389,293,320,546 × 389,293,320,546 - Step 4: Simplify right side
176,994,814,248x = 151,549,289,421,730,691,940,352 - Step 5: Solve for x
x = 151,549,289,421,730,691,940,352/176,994,814,248 - Step 6: Final answer
x = 856,235,760,723.39
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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.