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Finding the Third Proportional to 103,952.50 and 218,771.75

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Solution

The third proportional to 103,952.50 and 218,771.75 is: 460,412.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,952.50 : 218,771.75 = 218,771.75 : x
  2. Step 2: Convert to fraction form
    103,952.50/218,771.75 = 218,771.75/x
  3. Step 3: Cross multiply
    103,952.50x = 218,771.75 × 218,771.75
  4. Step 4: Simplify right side
    103,952.50x = 47,861,078,598.06
  5. Step 5: Solve for x
    x = 47,861,078,598.06/103,952.50
  6. Step 6: Final answer
    x = 460,412.96

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.