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Finding the Third Proportional to 175,192,954 and 378,085,348

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Solution

The third proportional to 175,192,954 and 378,085,348 is: 815,949,084.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,192,954 : 378,085,348 = 378,085,348 : x
  2. Step 2: Convert to fraction form
    175,192,954/378,085,348 = 378,085,348/x
  3. Step 3: Cross multiply
    175,192,954x = 378,085,348 × 378,085,348
  4. Step 4: Simplify right side
    175,192,954x = 142,948,530,372,281,104
  5. Step 5: Solve for x
    x = 142,948,530,372,281,104/175,192,954
  6. Step 6: Final answer
    x = 815,949,084.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.