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Finding the Third Proportional to 204,196,880 and 308,726,589

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Solution

The third proportional to 204,196,880 and 308,726,589 is: 466,765,734.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,196,880 : 308,726,589 = 308,726,589 : x
  2. Step 2: Convert to fraction form
    204,196,880/308,726,589 = 308,726,589/x
  3. Step 3: Cross multiply
    204,196,880x = 308,726,589 × 308,726,589
  4. Step 4: Simplify right side
    204,196,880x = 95,312,106,755,574,928
  5. Step 5: Solve for x
    x = 95,312,106,755,574,928/204,196,880
  6. Step 6: Final answer
    x = 466,765,734.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.