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Finding the Third Proportional to 94,697.50 and 204,416.50

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Solution

The third proportional to 94,697.50 and 204,416.50 is: 441,258.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,697.50 : 204,416.50 = 204,416.50 : x
  2. Step 2: Convert to fraction form
    94,697.50/204,416.50 = 204,416.50/x
  3. Step 3: Cross multiply
    94,697.50x = 204,416.50 × 204,416.50
  4. Step 4: Simplify right side
    94,697.50x = 41,786,105,472.25
  5. Step 5: Solve for x
    x = 41,786,105,472.25/94,697.50
  6. Step 6: Final answer
    x = 441,258.80

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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.