Finding the Third Proportional to 105,922,992 and 228,077,070
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Solution
The third proportional to 105,922,992 and 228,077,070 is: 491,103,478.83
Step by Step Solution
- Step 1: Write the proportion equation
105,922,992 : 228,077,070 = 228,077,070 : x - Step 2: Convert to fraction form
105,922,992/228,077,070 = 228,077,070/x - Step 3: Cross multiply
105,922,992x = 228,077,070 × 228,077,070 - Step 4: Simplify right side
105,922,992x = 52,019,149,859,784,896 - Step 5: Solve for x
x = 52,019,149,859,784,896/105,922,992 - Step 6: Final answer
x = 491,103,478.83
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.