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Finding the Third Proportional to 86,310,144 and 184,863,114

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Solution

The third proportional to 86,310,144 and 184,863,114 is: 395,948,486.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,310,144 : 184,863,114 = 184,863,114 : x
  2. Step 2: Convert to fraction form
    86,310,144/184,863,114 = 184,863,114/x
  3. Step 3: Cross multiply
    86,310,144x = 184,863,114 × 184,863,114
  4. Step 4: Simplify right side
    86,310,144x = 34,174,370,917,776,996
  5. Step 5: Solve for x
    x = 34,174,370,917,776,996/86,310,144
  6. Step 6: Final answer
    x = 395,948,486.86

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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.