Finding the Third Proportional to 268,529,910 and 414,657,178
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Solution
The third proportional to 268,529,910 and 414,657,178 is: 640,303,254.36
Step by Step Solution
- Step 1: Write the proportion equation
268,529,910 : 414,657,178 = 414,657,178 : x - Step 2: Convert to fraction form
268,529,910/414,657,178 = 414,657,178/x - Step 3: Cross multiply
268,529,910x = 414,657,178 × 414,657,178 - Step 4: Simplify right side
268,529,910x = 171,940,575,266,923,680 - Step 5: Solve for x
x = 171,940,575,266,923,680/268,529,910 - Step 6: Final answer
x = 640,303,254.36
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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.