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Finding the Third Proportional to 94,304.25 and 205,213.50

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Solution

The third proportional to 94,304.25 and 205,213.50 is: 446,560.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,304.25 : 205,213.50 = 205,213.50 : x
  2. Step 2: Convert to fraction form
    94,304.25/205,213.50 = 205,213.50/x
  3. Step 3: Cross multiply
    94,304.25x = 205,213.50 × 205,213.50
  4. Step 4: Simplify right side
    94,304.25x = 42,112,580,582.25
  5. Step 5: Solve for x
    x = 42,112,580,582.25/94,304.25
  6. Step 6: Final answer
    x = 446,560.79

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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.