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Finding the Third Proportional to 86,180,264 and 184,304,464

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Solution

The third proportional to 86,180,264 and 184,304,464 is: 394,152,139.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,180,264 : 184,304,464 = 184,304,464 : x
  2. Step 2: Convert to fraction form
    86,180,264/184,304,464 = 184,304,464/x
  3. Step 3: Cross multiply
    86,180,264x = 184,304,464 × 184,304,464
  4. Step 4: Simplify right side
    86,180,264x = 33,968,135,450,327,296
  5. Step 5: Solve for x
    x = 33,968,135,450,327,296/86,180,264
  6. Step 6: Final answer
    x = 394,152,139.64

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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.