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Finding the Third Proportional to 86,144,016 and 184,394,688

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Solution

The third proportional to 86,144,016 and 184,394,688 is: 394,704,154.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,144,016 : 184,394,688 = 184,394,688 : x
  2. Step 2: Convert to fraction form
    86,144,016/184,394,688 = 184,394,688/x
  3. Step 3: Cross multiply
    86,144,016x = 184,394,688 × 184,394,688
  4. Step 4: Simplify right side
    86,144,016x = 34,001,400,962,617,344
  5. Step 5: Solve for x
    x = 34,001,400,962,617,344/86,144,016
  6. Step 6: Final answer
    x = 394,704,154.06

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