Finding the Third Proportional to 198,938,253,833 and 432,732,548,070
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Solution
The third proportional to 198,938,253,833 and 432,732,548,070 is: 941,284,315,867.92
Step by Step Solution
- Step 1: Write the proportion equation
198,938,253,833 : 432,732,548,070 = 432,732,548,070 : x - Step 2: Convert to fraction form
198,938,253,833/432,732,548,070 = 432,732,548,070/x - Step 3: Cross multiply
198,938,253,833x = 432,732,548,070 × 432,732,548,070 - Step 4: Simplify right side
198,938,253,833x = 187,257,458,159,154,855,149,568 - Step 5: Solve for x
x = 187,257,458,159,154,855,149,568/198,938,253,833 - Step 6: Final answer
x = 941,284,315,867.92
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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.