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Finding the Third Proportional to 158,961,815,360 and 322,594,642,800

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Solution

The third proportional to 158,961,815,360 and 322,594,642,800 is: 654,668,565,073.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,961,815,360 : 322,594,642,800 = 322,594,642,800 : x
  2. Step 2: Convert to fraction form
    158,961,815,360/322,594,642,800 = 322,594,642,800/x
  3. Step 3: Cross multiply
    158,961,815,360x = 322,594,642,800 × 322,594,642,800
  4. Step 4: Simplify right side
    158,961,815,360x = 104,067,303,563,259,591,786,496
  5. Step 5: Solve for x
    x = 104,067,303,563,259,591,786,496/158,961,815,360
  6. Step 6: Final answer
    x = 654,668,565,073.81

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.