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Finding the Third Proportional to 93,286.50 and 201,315

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Solution

The third proportional to 93,286.50 and 201,315 is: 434,443.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,286.50 : 201,315 = 201,315 : x
  2. Step 2: Convert to fraction form
    93,286.50/201,315 = 201,315/x
  3. Step 3: Cross multiply
    93,286.50x = 201,315 × 201,315
  4. Step 4: Simplify right side
    93,286.50x = 40,527,729,225
  5. Step 5: Solve for x
    x = 40,527,729,225/93,286.50
  6. Step 6: Final answer
    x = 434,443.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.