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Finding the Third Proportional to 154,991,784 and 337,222,680

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Solution

The third proportional to 154,991,784 and 337,222,680 is: 733,710,735.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,991,784 : 337,222,680 = 337,222,680 : x
  2. Step 2: Convert to fraction form
    154,991,784/337,222,680 = 337,222,680/x
  3. Step 3: Cross multiply
    154,991,784x = 337,222,680 × 337,222,680
  4. Step 4: Simplify right side
    154,991,784x = 113,719,135,906,382,400
  5. Step 5: Solve for x
    x = 113,719,135,906,382,400/154,991,784
  6. Step 6: Final answer
    x = 733,710,735.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.