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Finding the Third Proportional to 199,105 and 429,905

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Solution

The third proportional to 199,105 and 429,905 is: 928,245.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,105 : 429,905 = 429,905 : x
  2. Step 2: Convert to fraction form
    199,105/429,905 = 429,905/x
  3. Step 3: Cross multiply
    199,105x = 429,905 × 429,905
  4. Step 4: Simplify right side
    199,105x = 184,818,309,025
  5. Step 5: Solve for x
    x = 184,818,309,025/199,105
  6. Step 6: Final answer
    x = 928,245.44

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