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Finding the Third Proportional to 30,285.56 and 65,199.94

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Solution

The third proportional to 30,285.56 and 65,199.94 is: 140,364.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,285.56 : 65,199.94 = 65,199.94 : x
  2. Step 2: Convert to fraction form
    30,285.56/65,199.94 = 65,199.94/x
  3. Step 3: Cross multiply
    30,285.56x = 65,199.94 × 65,199.94
  4. Step 4: Simplify right side
    30,285.56x = 4,251,031,850.00
  5. Step 5: Solve for x
    x = 4,251,031,850.00/30,285.56
  6. Step 6: Final answer
    x = 140,364.96

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.