Finding the Third Proportional to 232,815,689.25 and 506,965,677.75
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Solution
The third proportional to 232,815,689.25 and 506,965,677.75 is: 1,103,938,481.31
Step by Step Solution
- Step 1: Write the proportion equation
232,815,689.25 : 506,965,677.75 = 506,965,677.75 : x - Step 2: Convert to fraction form
232,815,689.25/506,965,677.75 = 506,965,677.75/x - Step 3: Cross multiply
232,815,689.25x = 506,965,677.75 × 506,965,677.75 - Step 4: Simplify right side
232,815,689.25x = 257,014,198,416,516,832 - Step 5: Solve for x
x = 257,014,198,416,516,832/232,815,689.25 - Step 6: Final answer
x = 1,103,938,481.31
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.