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Finding the Third Proportional to 86,315,814.75 and 184,912,854.75

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Solution

The third proportional to 86,315,814.75 and 184,912,854.75 is: 396,135,562.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,315,814.75 : 184,912,854.75 = 184,912,854.75 : x
  2. Step 2: Convert to fraction form
    86,315,814.75/184,912,854.75 = 184,912,854.75/x
  3. Step 3: Cross multiply
    86,315,814.75x = 184,912,854.75 × 184,912,854.75
  4. Step 4: Simplify right side
    86,315,814.75x = 34,192,763,851,794,596
  5. Step 5: Solve for x
    x = 34,192,763,851,794,596/86,315,814.75
  6. Step 6: Final answer
    x = 396,135,562.77

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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.