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Finding the Third Proportional to 173,628,259,368 and 361,525,219,488

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Solution

The third proportional to 173,628,259,368 and 361,525,219,488 is: 752,760,436,587.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,628,259,368 : 361,525,219,488 = 361,525,219,488 : x
  2. Step 2: Convert to fraction form
    173,628,259,368/361,525,219,488 = 361,525,219,488/x
  3. Step 3: Cross multiply
    173,628,259,368x = 361,525,219,488 × 361,525,219,488
  4. Step 4: Simplify right side
    173,628,259,368x = 130,700,484,325,846,569,451,520
  5. Step 5: Solve for x
    x = 130,700,484,325,846,569,451,520/173,628,259,368
  6. Step 6: Final answer
    x = 752,760,436,587.86

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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.