Finding the Third Proportional to 69,089,999,943 and 106,149,148,951.50
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Solution
The third proportional to 69,089,999,943 and 106,149,148,951.50 is: 163,086,435,553.97
Step by Step Solution
- Step 1: Write the proportion equation
69,089,999,943 : 106,149,148,951.50 = 106,149,148,951.50 : x - Step 2: Convert to fraction form
69,089,999,943/106,149,148,951.50 = 106,149,148,951.50/x - Step 3: Cross multiply
69,089,999,943x = 106,149,148,951.50 × 106,149,148,951.50 - Step 4: Simplify right side
69,089,999,943x = 11,267,641,823,127,733,796,864 - Step 5: Solve for x
x = 11,267,641,823,127,733,796,864/69,089,999,943 - Step 6: Final answer
x = 163,086,435,553.97
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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.