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Finding the Third Proportional to 268,529,902 and 414,657,152

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Solution

The third proportional to 268,529,902 and 414,657,152 is: 640,303,193.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,529,902 : 414,657,152 = 414,657,152 : x
  2. Step 2: Convert to fraction form
    268,529,902/414,657,152 = 414,657,152/x
  3. Step 3: Cross multiply
    268,529,902x = 414,657,152 × 414,657,152
  4. Step 4: Simplify right side
    268,529,902x = 171,940,553,704,751,104
  5. Step 5: Solve for x
    x = 171,940,553,704,751,104/268,529,902
  6. Step 6: Final answer
    x = 640,303,193.14

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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.