Finding the Third Proportional to 110,780,560 and 256,436,949
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Solution
The third proportional to 110,780,560 and 256,436,949 is: 593,605,130.83
Step by Step Solution
- Step 1: Write the proportion equation
110,780,560 : 256,436,949 = 256,436,949 : x - Step 2: Convert to fraction form
110,780,560/256,436,949 = 256,436,949/x - Step 3: Cross multiply
110,780,560x = 256,436,949 × 256,436,949 - Step 4: Simplify right side
110,780,560x = 65,759,908,812,428,600 - Step 5: Solve for x
x = 65,759,908,812,428,600/110,780,560 - Step 6: Final answer
x = 593,605,130.83
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Why These Related Problems?
These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.