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Finding the Third Proportional to 199,104.75 and 433,201.50

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Solution

The third proportional to 199,104.75 and 433,201.50 is: 942,536.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,104.75 : 433,201.50 = 433,201.50 : x
  2. Step 2: Convert to fraction form
    199,104.75/433,201.50 = 433,201.50/x
  3. Step 3: Cross multiply
    199,104.75x = 433,201.50 × 433,201.50
  4. Step 4: Simplify right side
    199,104.75x = 187,663,539,602.25
  5. Step 5: Solve for x
    x = 187,663,539,602.25/199,104.75
  6. Step 6: Final answer
    x = 942,536.73

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.