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Finding the Third Proportional to 105,018,558,715 and 225,965,121,090

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Solution

The third proportional to 105,018,558,715 and 225,965,121,090 is: 486,202,025,375.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,018,558,715 : 225,965,121,090 = 225,965,121,090 : x
  2. Step 2: Convert to fraction form
    105,018,558,715/225,965,121,090 = 225,965,121,090/x
  3. Step 3: Cross multiply
    105,018,558,715x = 225,965,121,090 × 225,965,121,090
  4. Step 4: Simplify right side
    105,018,558,715x = 51,060,235,949,218,365,177,856
  5. Step 5: Solve for x
    x = 51,060,235,949,218,365,177,856/105,018,558,715
  6. Step 6: Final answer
    x = 486,202,025,375.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.