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Finding the Third Proportional to 175,598,928 and 378,168,345

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Solution

The third proportional to 175,598,928 and 378,168,345 is: 814,420,103.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,598,928 : 378,168,345 = 378,168,345 : x
  2. Step 2: Convert to fraction form
    175,598,928/378,168,345 = 378,168,345/x
  3. Step 3: Cross multiply
    175,598,928x = 378,168,345 × 378,168,345
  4. Step 4: Simplify right side
    175,598,928x = 143,011,297,160,039,024
  5. Step 5: Solve for x
    x = 143,011,297,160,039,024/175,598,928
  6. Step 6: Final answer
    x = 814,420,103.75

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Why These Related Problems?

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