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Finding the Third Proportional to 97,624.50 and 213,150

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Solution

The third proportional to 97,624.50 and 213,150 is: 465,384.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,624.50 : 213,150 = 213,150 : x
  2. Step 2: Convert to fraction form
    97,624.50/213,150 = 213,150/x
  3. Step 3: Cross multiply
    97,624.50x = 213,150 × 213,150
  4. Step 4: Simplify right side
    97,624.50x = 45,432,922,500
  5. Step 5: Solve for x
    x = 45,432,922,500/97,624.50
  6. Step 6: Final answer
    x = 465,384.43

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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.