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Finding the Third Proportional to 122,049,858.75 and 184,209,783.75

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Solution

The third proportional to 122,049,858.75 and 184,209,783.75 is: 278,027,723.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,049,858.75 : 184,209,783.75 = 184,209,783.75 : x
  2. Step 2: Convert to fraction form
    122,049,858.75/184,209,783.75 = 184,209,783.75/x
  3. Step 3: Cross multiply
    122,049,858.75x = 184,209,783.75 × 184,209,783.75
  4. Step 4: Simplify right side
    122,049,858.75x = 33,933,244,429,221,764
  5. Step 5: Solve for x
    x = 33,933,244,429,221,764/122,049,858.75
  6. Step 6: Final answer
    x = 278,027,723.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.