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Finding the Third Proportional to 83,055,966 and 178,891,680

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Solution

The third proportional to 83,055,966 and 178,891,680 is: 385,309,264.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,055,966 : 178,891,680 = 178,891,680 : x
  2. Step 2: Convert to fraction form
    83,055,966/178,891,680 = 178,891,680/x
  3. Step 3: Cross multiply
    83,055,966x = 178,891,680 × 178,891,680
  4. Step 4: Simplify right side
    83,055,966x = 32,002,233,173,222,400
  5. Step 5: Solve for x
    x = 32,002,233,173,222,400/83,055,966
  6. Step 6: Final answer
    x = 385,309,264.52

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.