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Finding the Third Proportional to 104,958,624 and 227,758,152

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Solution

The third proportional to 104,958,624 and 227,758,152 is: 494,230,715.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,958,624 : 227,758,152 = 227,758,152 : x
  2. Step 2: Convert to fraction form
    104,958,624/227,758,152 = 227,758,152/x
  3. Step 3: Cross multiply
    104,958,624x = 227,758,152 × 227,758,152
  4. Step 4: Simplify right side
    104,958,624x = 51,873,775,802,455,104
  5. Step 5: Solve for x
    x = 51,873,775,802,455,104/104,958,624
  6. Step 6: Final answer
    x = 494,230,715.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.