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Finding the Third Proportional to 90,656 and 199,434

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Solution

The third proportional to 90,656 and 199,434 is: 438,734.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,656 : 199,434 = 199,434 : x
  2. Step 2: Convert to fraction form
    90,656/199,434 = 199,434/x
  3. Step 3: Cross multiply
    90,656x = 199,434 × 199,434
  4. Step 4: Simplify right side
    90,656x = 39,773,920,356
  5. Step 5: Solve for x
    x = 39,773,920,356/90,656
  6. Step 6: Final answer
    x = 438,734.56

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.