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Finding the Third Proportional to 173,628,259,376 and 361,525,219,504

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Solution

The third proportional to 173,628,259,376 and 361,525,219,504 is: 752,760,436,619.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,628,259,376 : 361,525,219,504 = 361,525,219,504 : x
  2. Step 2: Convert to fraction form
    173,628,259,376/361,525,219,504 = 361,525,219,504/x
  3. Step 3: Cross multiply
    173,628,259,376x = 361,525,219,504 × 361,525,219,504
  4. Step 4: Simplify right side
    173,628,259,376x = 130,700,484,337,415,382,630,400
  5. Step 5: Solve for x
    x = 130,700,484,337,415,382,630,400/173,628,259,376
  6. Step 6: Final answer
    x = 752,760,436,619.81

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.