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Finding the Third Proportional to 183,829,800 and 398,295,816

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Solution

The third proportional to 183,829,800 and 398,295,816 is: 862,969,752.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,829,800 : 398,295,816 = 398,295,816 : x
  2. Step 2: Convert to fraction form
    183,829,800/398,295,816 = 398,295,816/x
  3. Step 3: Cross multiply
    183,829,800x = 398,295,816 × 398,295,816
  4. Step 4: Simplify right side
    183,829,800x = 158,639,557,043,105,856
  5. Step 5: Solve for x
    x = 158,639,557,043,105,856/183,829,800
  6. Step 6: Final answer
    x = 862,969,752.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.