Finding the Third Proportional to 146,228,870 and 321,157,012
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Solution
The third proportional to 146,228,870 and 321,157,012 is: 705,345,164.45
Step by Step Solution
- Step 1: Write the proportion equation
146,228,870 : 321,157,012 = 321,157,012 : x - Step 2: Convert to fraction form
146,228,870/321,157,012 = 321,157,012/x - Step 3: Cross multiply
146,228,870x = 321,157,012 × 321,157,012 - Step 4: Simplify right side
146,228,870x = 103,141,826,356,768,144 - Step 5: Solve for x
x = 103,141,826,356,768,144/146,228,870 - Step 6: Final answer
x = 705,345,164.45
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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.