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Finding the Third Proportional to 93,729.75 and 201,311.25

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Solution

The third proportional to 93,729.75 and 201,311.25 is: 432,373.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,729.75 : 201,311.25 = 201,311.25 : x
  2. Step 2: Convert to fraction form
    93,729.75/201,311.25 = 201,311.25/x
  3. Step 3: Cross multiply
    93,729.75x = 201,311.25 × 201,311.25
  4. Step 4: Simplify right side
    93,729.75x = 40,526,219,376.56
  5. Step 5: Solve for x
    x = 40,526,219,376.56/93,729.75
  6. Step 6: Final answer
    x = 432,373.07

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Why These Related Problems?

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