Finding the Third Proportional to 133,021,456,468.50 and 275,471,939,175.50
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Solution
The third proportional to 133,021,456,468.50 and 275,471,939,175.50 is: 570,470,293,197.25
Step by Step Solution
- Step 1: Write the proportion equation
133,021,456,468.50 : 275,471,939,175.50 = 275,471,939,175.50 : x - Step 2: Convert to fraction form
133,021,456,468.50/275,471,939,175.50 = 275,471,939,175.50/x - Step 3: Cross multiply
133,021,456,468.50x = 275,471,939,175.50 × 275,471,939,175.50 - Step 4: Simplify right side
133,021,456,468.50x = 75,884,789,273,110,377,398,272 - Step 5: Solve for x
x = 75,884,789,273,110,377,398,272/133,021,456,468.50 - Step 6: Final answer
x = 570,470,293,197.25
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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.