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Finding the Third Proportional to 43,924.50 and 96,597

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Solution

The third proportional to 43,924.50 and 96,597 is: 212,432.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,924.50 : 96,597 = 96,597 : x
  2. Step 2: Convert to fraction form
    43,924.50/96,597 = 96,597/x
  3. Step 3: Cross multiply
    43,924.50x = 96,597 × 96,597
  4. Step 4: Simplify right side
    43,924.50x = 9,330,980,409
  5. Step 5: Solve for x
    x = 9,330,980,409/43,924.50
  6. Step 6: Final answer
    x = 212,432.25

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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.