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Finding the Third Proportional to 86,316,756 and 184,914,642

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Solution

The third proportional to 86,316,756 and 184,914,642 is: 396,138,900.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,316,756 : 184,914,642 = 184,914,642 : x
  2. Step 2: Convert to fraction form
    86,316,756/184,914,642 = 184,914,642/x
  3. Step 3: Cross multiply
    86,316,756x = 184,914,642 × 184,914,642
  4. Step 4: Simplify right side
    86,316,756x = 34,193,424,825,988,164
  5. Step 5: Solve for x
    x = 34,193,424,825,988,164/86,316,756
  6. Step 6: Final answer
    x = 396,138,900.61

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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.