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Finding the Third Proportional to 199,087.88 and 429,846.75

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Solution

The third proportional to 199,087.88 and 429,846.75 is: 928,073.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,087.88 : 429,846.75 = 429,846.75 : x
  2. Step 2: Convert to fraction form
    199,087.88/429,846.75 = 429,846.75/x
  3. Step 3: Cross multiply
    199,087.88x = 429,846.75 × 429,846.75
  4. Step 4: Simplify right side
    199,087.88x = 184,768,228,485.56
  5. Step 5: Solve for x
    x = 184,768,228,485.56/199,087.88
  6. Step 6: Final answer
    x = 928,073.74

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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.