Finding the Third Proportional to 214,871,414 and 460,374,392
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Solution
The third proportional to 214,871,414 and 460,374,392 is: 986,378,675.80
Step by Step Solution
- Step 1: Write the proportion equation
214,871,414 : 460,374,392 = 460,374,392 : x - Step 2: Convert to fraction form
214,871,414/460,374,392 = 460,374,392/x - Step 3: Cross multiply
214,871,414x = 460,374,392 × 460,374,392 - Step 4: Simplify right side
214,871,414x = 211,944,580,809,369,664 - Step 5: Solve for x
x = 211,944,580,809,369,664/214,871,414 - Step 6: Final answer
x = 986,378,675.80
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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.