Finding the Third Proportional to 190,482,840 and 413,438,256
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Solution
The third proportional to 190,482,840 and 413,438,256 is: 897,357,428.75
Step by Step Solution
- Step 1: Write the proportion equation
190,482,840 : 413,438,256 = 413,438,256 : x - Step 2: Convert to fraction form
190,482,840/413,438,256 = 413,438,256/x - Step 3: Cross multiply
190,482,840x = 413,438,256 × 413,438,256 - Step 4: Simplify right side
190,482,840x = 170,931,191,524,321,536 - Step 5: Solve for x
x = 170,931,191,524,321,536/190,482,840 - Step 6: Final answer
x = 897,357,428.75
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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.