Finding the Third Proportional to 230,173,144 and 493,177,504
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Solution
The third proportional to 230,173,144 and 493,177,504 is: 1,056,700,387.48
Step by Step Solution
- Step 1: Write the proportion equation
230,173,144 : 493,177,504 = 493,177,504 : x - Step 2: Convert to fraction form
230,173,144/493,177,504 = 493,177,504/x - Step 3: Cross multiply
230,173,144x = 493,177,504 × 493,177,504 - Step 4: Simplify right side
230,173,144x = 243,224,050,451,670,016 - Step 5: Solve for x
x = 243,224,050,451,670,016/230,173,144 - Step 6: Final answer
x = 1,056,700,387.48
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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.