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Finding the Third Proportional to 268,470,456 and 414,197,192

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Solution

The third proportional to 268,470,456 and 414,197,192 is: 639,024,928.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,470,456 : 414,197,192 = 414,197,192 : x
  2. Step 2: Convert to fraction form
    268,470,456/414,197,192 = 414,197,192/x
  3. Step 3: Cross multiply
    268,470,456x = 414,197,192 × 414,197,192
  4. Step 4: Simplify right side
    268,470,456x = 171,559,313,860,684,864
  5. Step 5: Solve for x
    x = 171,559,313,860,684,864/268,470,456
  6. Step 6: Final answer
    x = 639,024,928.17

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.