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Finding the Third Proportional to 184,561,259 and 269,835,009

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Solution

The third proportional to 184,561,259 and 269,835,009 is: 394,508,210.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,561,259 : 269,835,009 = 269,835,009 : x
  2. Step 2: Convert to fraction form
    184,561,259/269,835,009 = 269,835,009/x
  3. Step 3: Cross multiply
    184,561,259x = 269,835,009 × 269,835,009
  4. Step 4: Simplify right side
    184,561,259x = 72,810,932,082,030,080
  5. Step 5: Solve for x
    x = 72,810,932,082,030,080/184,561,259
  6. Step 6: Final answer
    x = 394,508,210.86

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.