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Finding the Third Proportional to 105,250,303,276 and 227,275,679,552

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Solution

The third proportional to 105,250,303,276 and 227,275,679,552 is: 490,775,160,812.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,250,303,276 : 227,275,679,552 = 227,275,679,552 : x
  2. Step 2: Convert to fraction form
    105,250,303,276/227,275,679,552 = 227,275,679,552/x
  3. Step 3: Cross multiply
    105,250,303,276x = 227,275,679,552 × 227,275,679,552
  4. Step 4: Simplify right side
    105,250,303,276x = 51,654,234,515,823,394,816,000
  5. Step 5: Solve for x
    x = 51,654,234,515,823,394,816,000/105,250,303,276
  6. Step 6: Final answer
    x = 490,775,160,812.31

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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.