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Finding the Third Proportional to 43,274.25 and 94,486.50

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Solution

The third proportional to 43,274.25 and 94,486.50 is: 206,305.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,274.25 : 94,486.50 = 94,486.50 : x
  2. Step 2: Convert to fraction form
    43,274.25/94,486.50 = 94,486.50/x
  3. Step 3: Cross multiply
    43,274.25x = 94,486.50 × 94,486.50
  4. Step 4: Simplify right side
    43,274.25x = 8,927,698,682.25
  5. Step 5: Solve for x
    x = 8,927,698,682.25/43,274.25
  6. Step 6: Final answer
    x = 206,305.10

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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.