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Finding the Third Proportional to 84,035,400 and 182,794,656

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Solution

The third proportional to 84,035,400 and 182,794,656 is: 397,616,793.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,035,400 : 182,794,656 = 182,794,656 : x
  2. Step 2: Convert to fraction form
    84,035,400/182,794,656 = 182,794,656/x
  3. Step 3: Cross multiply
    84,035,400x = 182,794,656 × 182,794,656
  4. Step 4: Simplify right side
    84,035,400x = 33,413,886,262,158,336
  5. Step 5: Solve for x
    x = 33,413,886,262,158,336/84,035,400
  6. Step 6: Final answer
    x = 397,616,793.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.