Finding the Third Proportional to 142,117,152 and 310,980,016
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Solution
The third proportional to 142,117,152 and 310,980,016 is: 680,484,860.49
Step by Step Solution
- Step 1: Write the proportion equation
142,117,152 : 310,980,016 = 310,980,016 : x - Step 2: Convert to fraction form
142,117,152/310,980,016 = 310,980,016/x - Step 3: Cross multiply
142,117,152x = 310,980,016 × 310,980,016 - Step 4: Simplify right side
142,117,152x = 96,708,570,351,360,256 - Step 5: Solve for x
x = 96,708,570,351,360,256/142,117,152 - Step 6: Final answer
x = 680,484,860.49
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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.