Finding the Third Proportional to 106,783,889,436 and 145,421,430,672
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Solution
The third proportional to 106,783,889,436 and 145,421,430,672 is: 198,039,166,866.70
Step by Step Solution
- Step 1: Write the proportion equation
106,783,889,436 : 145,421,430,672 = 145,421,430,672 : x - Step 2: Convert to fraction form
106,783,889,436/145,421,430,672 = 145,421,430,672/x - Step 3: Cross multiply
106,783,889,436x = 145,421,430,672 × 145,421,430,672 - Step 4: Simplify right side
106,783,889,436x = 21,147,392,498,691,303,538,688 - Step 5: Solve for x
x = 21,147,392,498,691,303,538,688/106,783,889,436 - Step 6: Final answer
x = 198,039,166,866.70
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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.