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Finding the Third Proportional to 199,233.42 and 429,961.92

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Solution

The third proportional to 199,233.42 and 429,961.92 is: 927,892.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,233.42 : 429,961.92 = 429,961.92 : x
  2. Step 2: Convert to fraction form
    199,233.42/429,961.92 = 429,961.92/x
  3. Step 3: Cross multiply
    199,233.42x = 429,961.92 × 429,961.92
  4. Step 4: Simplify right side
    199,233.42x = 184,867,254,262.44
  5. Step 5: Solve for x
    x = 184,867,254,262.44/199,233.42
  6. Step 6: Final answer
    x = 927,892.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.