Finding the Third Proportional to 135,501,837,687 and 204,998,347,965.38
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Solution
The third proportional to 135,501,837,687 and 204,998,347,965.38 is: 310,138,396,540.48
Step by Step Solution
- Step 1: Write the proportion equation
135,501,837,687 : 204,998,347,965.38 = 204,998,347,965.38 : x - Step 2: Convert to fraction form
135,501,837,687/204,998,347,965.38 = 204,998,347,965.38/x - Step 3: Cross multiply
135,501,837,687x = 204,998,347,965.38 × 204,998,347,965.38 - Step 4: Simplify right side
135,501,837,687x = 42,024,322,668,535,016,849,408 - Step 5: Solve for x
x = 42,024,322,668,535,016,849,408/135,501,837,687 - Step 6: Final answer
x = 310,138,396,540.48
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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.