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Finding the Third Proportional to 175,192,956 and 378,085,352

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Solution

The third proportional to 175,192,956 and 378,085,352 is: 815,949,092.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,192,956 : 378,085,352 = 378,085,352 : x
  2. Step 2: Convert to fraction form
    175,192,956/378,085,352 = 378,085,352/x
  3. Step 3: Cross multiply
    175,192,956x = 378,085,352 × 378,085,352
  4. Step 4: Simplify right side
    175,192,956x = 142,948,533,396,963,904
  5. Step 5: Solve for x
    x = 142,948,533,396,963,904/175,192,956
  6. Step 6: Final answer
    x = 815,949,092.14

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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.