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Finding the Third Proportional to 199,800 and 427,939.88

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Solution

The third proportional to 199,800 and 427,939.88 is: 916,579.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,800 : 427,939.88 = 427,939.88 : x
  2. Step 2: Convert to fraction form
    199,800/427,939.88 = 427,939.88/x
  3. Step 3: Cross multiply
    199,800x = 427,939.88 × 427,939.88
  4. Step 4: Simplify right side
    199,800x = 183,132,536,615.02
  5. Step 5: Solve for x
    x = 183,132,536,615.02/199,800
  6. Step 6: Final answer
    x = 916,579.26

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.