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Finding the Third Proportional to 138,131,448,944 and 300,586,134,520

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Solution

The third proportional to 138,131,448,944 and 300,586,134,520 is: 654,101,762,896.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,131,448,944 : 300,586,134,520 = 300,586,134,520 : x
  2. Step 2: Convert to fraction form
    138,131,448,944/300,586,134,520 = 300,586,134,520/x
  3. Step 3: Cross multiply
    138,131,448,944x = 300,586,134,520 × 300,586,134,520
  4. Step 4: Simplify right side
    138,131,448,944x = 90,352,024,265,675,530,829,824
  5. Step 5: Solve for x
    x = 90,352,024,265,675,530,829,824/138,131,448,944
  6. Step 6: Final answer
    x = 654,101,762,896.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.