Finding the Third Proportional to 105,922,980 and 228,077,044
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Solution
The third proportional to 105,922,980 and 228,077,044 is: 491,103,422.50
Step by Step Solution
- Step 1: Write the proportion equation
105,922,980 : 228,077,044 = 228,077,044 : x - Step 2: Convert to fraction form
105,922,980/228,077,044 = 228,077,044/x - Step 3: Cross multiply
105,922,980x = 228,077,044 × 228,077,044 - Step 4: Simplify right side
105,922,980x = 52,019,137,999,777,936 - Step 5: Solve for x
x = 52,019,137,999,777,936/105,922,980 - Step 6: Final answer
x = 491,103,422.50
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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.