Finding the Third Proportional to 230,092,826 and 310,971,492
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Solution
The third proportional to 230,092,826 and 310,971,492 is: 420,279,373.84
Step by Step Solution
- Step 1: Write the proportion equation
230,092,826 : 310,971,492 = 310,971,492 : x - Step 2: Convert to fraction form
230,092,826/310,971,492 = 310,971,492/x - Step 3: Cross multiply
230,092,826x = 310,971,492 × 310,971,492 - Step 4: Simplify right side
230,092,826x = 96,703,268,836,706,064 - Step 5: Solve for x
x = 96,703,268,836,706,064/230,092,826 - Step 6: Final answer
x = 420,279,373.84
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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.