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Finding the Third Proportional to 199,899.38 and 471,893.25

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Solution

The third proportional to 199,899.38 and 471,893.25 is: 1,113,976.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,899.38 : 471,893.25 = 471,893.25 : x
  2. Step 2: Convert to fraction form
    199,899.38/471,893.25 = 471,893.25/x
  3. Step 3: Cross multiply
    199,899.38x = 471,893.25 × 471,893.25
  4. Step 4: Simplify right side
    199,899.38x = 222,683,239,395.56
  5. Step 5: Solve for x
    x = 222,683,239,395.56/199,899.38
  6. Step 6: Final answer
    x = 1,113,976.67

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.