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Finding the Third Proportional to 105,250,303,274 and 227,275,679,548

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Solution

The third proportional to 105,250,303,274 and 227,275,679,548 is: 490,775,160,804.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,250,303,274 : 227,275,679,548 = 227,275,679,548 : x
  2. Step 2: Convert to fraction form
    105,250,303,274/227,275,679,548 = 227,275,679,548/x
  3. Step 3: Cross multiply
    105,250,303,274x = 227,275,679,548 × 227,275,679,548
  4. Step 4: Simplify right side
    105,250,303,274x = 51,654,234,514,005,189,197,824
  5. Step 5: Solve for x
    x = 51,654,234,514,005,189,197,824/105,250,303,274
  6. Step 6: Final answer
    x = 490,775,160,804.36

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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.