Finding the Third Proportional to 147,102,374,758 and 210,356,646,413
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Solution
The third proportional to 147,102,374,758 and 210,356,646,413 is: 300,810,362,598.97
Step by Step Solution
- Step 1: Write the proportion equation
147,102,374,758 : 210,356,646,413 = 210,356,646,413 : x - Step 2: Convert to fraction form
147,102,374,758/210,356,646,413 = 210,356,646,413/x - Step 3: Cross multiply
147,102,374,758x = 210,356,646,413 × 210,356,646,413 - Step 4: Simplify right side
147,102,374,758x = 44,249,918,690,123,908,644,864 - Step 5: Solve for x
x = 44,249,918,690,123,908,644,864/147,102,374,758 - Step 6: Final answer
x = 300,810,362,598.97
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Why These Related Problems?
These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.