Finding the Third Proportional to 78,057,990,672.50 and 105,318,557,008.50
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Solution
The third proportional to 78,057,990,672.50 and 105,318,557,008.50 is: 142,099,461,628.35
Step by Step Solution
- Step 1: Write the proportion equation
78,057,990,672.50 : 105,318,557,008.50 = 105,318,557,008.50 : x - Step 2: Convert to fraction form
78,057,990,672.50/105,318,557,008.50 = 105,318,557,008.50/x - Step 3: Cross multiply
78,057,990,672.50x = 105,318,557,008.50 × 105,318,557,008.50 - Step 4: Simplify right side
78,057,990,672.50x = 11,091,998,450,352,664,870,912 - Step 5: Solve for x
x = 11,091,998,450,352,664,870,912/78,057,990,672.50 - Step 6: Final answer
x = 142,099,461,628.35
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Why These Related Problems?
These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.