Finding the Third Proportional to 120,827,782,948.50 and 189,543,134,952
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Solution
The third proportional to 120,827,782,948.50 and 189,543,134,952 is: 297,337,244,222.59
Step by Step Solution
- Step 1: Write the proportion equation
120,827,782,948.50 : 189,543,134,952 = 189,543,134,952 : x - Step 2: Convert to fraction form
120,827,782,948.50/189,543,134,952 = 189,543,134,952/x - Step 3: Cross multiply
120,827,782,948.50x = 189,543,134,952 × 189,543,134,952 - Step 4: Simplify right side
120,827,782,948.50x = 35,926,600,007,432,083,079,168 - Step 5: Solve for x
x = 35,926,600,007,432,083,079,168/120,827,782,948.50 - Step 6: Final answer
x = 297,337,244,222.59
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Why These Related Problems?
These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.