Finding the Third Proportional to 202,446,583,058.24 and 435,360,678,646.48
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Solution
The third proportional to 202,446,583,058.24 and 435,360,678,646.48 is: 936,241,637,908.98
Step by Step Solution
- Step 1: Write the proportion equation
202,446,583,058.24 : 435,360,678,646.48 = 435,360,678,646.48 : x - Step 2: Convert to fraction form
202,446,583,058.24/435,360,678,646.48 = 435,360,678,646.48/x - Step 3: Cross multiply
202,446,583,058.24x = 435,360,678,646.48 × 435,360,678,646.48 - Step 4: Simplify right side
202,446,583,058.24x = 189,538,920,511,523,598,106,624 - Step 5: Solve for x
x = 189,538,920,511,523,598,106,624/202,446,583,058.24 - Step 6: Final answer
x = 936,241,637,908.98
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.