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Finding the Third Proportional to 84,367,422 and 184,943,934

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Solution

The third proportional to 84,367,422 and 184,943,934 is: 405,420,219.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,367,422 : 184,943,934 = 184,943,934 : x
  2. Step 2: Convert to fraction form
    84,367,422/184,943,934 = 184,943,934/x
  3. Step 3: Cross multiply
    84,367,422x = 184,943,934 × 184,943,934
  4. Step 4: Simplify right side
    84,367,422x = 34,204,258,723,396,356
  5. Step 5: Solve for x
    x = 34,204,258,723,396,356/84,367,422
  6. Step 6: Final answer
    x = 405,420,219.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.