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Finding the Third Proportional to 80,198,725,086 and 172,039,605,528.50

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Solution

The third proportional to 80,198,725,086 and 172,039,605,528.50 is: 369,053,570,847.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,198,725,086 : 172,039,605,528.50 = 172,039,605,528.50 : x
  2. Step 2: Convert to fraction form
    80,198,725,086/172,039,605,528.50 = 172,039,605,528.50/x
  3. Step 3: Cross multiply
    80,198,725,086x = 172,039,605,528.50 × 172,039,605,528.50
  4. Step 4: Simplify right side
    80,198,725,086x = 29,597,625,870,401,887,272,960
  5. Step 5: Solve for x
    x = 29,597,625,870,401,887,272,960/80,198,725,086
  6. Step 6: Final answer
    x = 369,053,570,847.46

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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.