Finding the Third Proportional to 138,827,424,846 and 195,499,606,140
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Solution
The third proportional to 138,827,424,846 and 195,499,606,140 is: 275,306,525,661.57
Step by Step Solution
- Step 1: Write the proportion equation
138,827,424,846 : 195,499,606,140 = 195,499,606,140 : x - Step 2: Convert to fraction form
138,827,424,846/195,499,606,140 = 195,499,606,140/x - Step 3: Cross multiply
138,827,424,846x = 195,499,606,140 × 195,499,606,140 - Step 4: Simplify right side
138,827,424,846x = 38,220,096,000,895,129,485,312 - Step 5: Solve for x
x = 38,220,096,000,895,129,485,312/138,827,424,846 - Step 6: Final answer
x = 275,306,525,661.57
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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.