Finding the Third Proportional to 205,884,655.24 and 313,651,124.23
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Solution
The third proportional to 205,884,655.24 and 313,651,124.23 is: 477,825,934.20
Step by Step Solution
- Step 1: Write the proportion equation
205,884,655.24 : 313,651,124.23 = 313,651,124.23 : x - Step 2: Convert to fraction form
205,884,655.24/313,651,124.23 = 313,651,124.23/x - Step 3: Cross multiply
205,884,655.24x = 313,651,124.23 × 313,651,124.23 - Step 4: Simplify right side
205,884,655.24x = 98,377,027,728,591,248 - Step 5: Solve for x
x = 98,377,027,728,591,248/205,884,655.24 - Step 6: Final answer
x = 477,825,934.20
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Why These Related Problems?
These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.