Finding the Third Proportional to 109,269,854,052 and 243,664,388,388
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Solution
The third proportional to 109,269,854,052 and 243,664,388,388 is: 543,355,115,494.56
Step by Step Solution
- Step 1: Write the proportion equation
109,269,854,052 : 243,664,388,388 = 243,664,388,388 : x - Step 2: Convert to fraction form
109,269,854,052/243,664,388,388 = 243,664,388,388/x - Step 3: Cross multiply
109,269,854,052x = 243,664,388,388 × 243,664,388,388 - Step 4: Simplify right side
109,269,854,052x = 59,372,334,168,498,107,318,272 - Step 5: Solve for x
x = 59,372,334,168,498,107,318,272/109,269,854,052 - Step 6: Final answer
x = 543,355,115,494.56
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Why These Related Problems?
These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.