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Finding the Third Proportional to 159,887,756,168 and 355,524,132,563

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Solution

The third proportional to 159,887,756,168 and 355,524,132,563 is: 790,538,386,828.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,887,756,168 : 355,524,132,563 = 355,524,132,563 : x
  2. Step 2: Convert to fraction form
    159,887,756,168/355,524,132,563 = 355,524,132,563/x
  3. Step 3: Cross multiply
    159,887,756,168x = 355,524,132,563 × 355,524,132,563
  4. Step 4: Simplify right side
    159,887,756,168x = 126,397,408,834,673,589,616,640
  5. Step 5: Solve for x
    x = 126,397,408,834,673,589,616,640/159,887,756,168
  6. Step 6: Final answer
    x = 790,538,386,828.47

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.