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Finding the Third Proportional to 105,250,303,272 and 227,275,679,544

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Solution

The third proportional to 105,250,303,272 and 227,275,679,544 is: 490,775,160,796.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,250,303,272 : 227,275,679,544 = 227,275,679,544 : x
  2. Step 2: Convert to fraction form
    105,250,303,272/227,275,679,544 = 227,275,679,544/x
  3. Step 3: Cross multiply
    105,250,303,272x = 227,275,679,544 × 227,275,679,544
  4. Step 4: Simplify right side
    105,250,303,272x = 51,654,234,512,186,983,579,648
  5. Step 5: Solve for x
    x = 51,654,234,512,186,983,579,648/105,250,303,272
  6. Step 6: Final answer
    x = 490,775,160,796.41

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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.