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Finding the Third Proportional to 86,149,757.25 and 184,409,206.88

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Solution

The third proportional to 86,149,757.25 and 184,409,206.88 is: 394,740,004.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,149,757.25 : 184,409,206.88 = 184,409,206.88 : x
  2. Step 2: Convert to fraction form
    86,149,757.25/184,409,206.88 = 184,409,206.88/x
  3. Step 3: Cross multiply
    86,149,757.25x = 184,409,206.88 × 184,409,206.88
  4. Step 4: Simplify right side
    86,149,757.25x = 34,006,755,580,266,548
  5. Step 5: Solve for x
    x = 34,006,755,580,266,548/86,149,757.25
  6. Step 6: Final answer
    x = 394,740,004.68

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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.