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Finding the Third Proportional to 86,315,976 and 184,913,172

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Solution

The third proportional to 86,315,976 and 184,913,172 is: 396,136,182.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,315,976 : 184,913,172 = 184,913,172 : x
  2. Step 2: Convert to fraction form
    86,315,976/184,913,172 = 184,913,172/x
  3. Step 3: Cross multiply
    86,315,976x = 184,913,172 × 184,913,172
  4. Step 4: Simplify right side
    86,315,976x = 34,192,881,179,101,584
  5. Step 5: Solve for x
    x = 34,192,881,179,101,584/86,315,976
  6. Step 6: Final answer
    x = 396,136,182.01

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.