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Finding the Third Proportional to 53,383.50 and 109,432.13

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Solution

The third proportional to 53,383.50 and 109,432.13 is: 224,327.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,383.50 : 109,432.13 = 109,432.13 : x
  2. Step 2: Convert to fraction form
    53,383.50/109,432.13 = 109,432.13/x
  3. Step 3: Cross multiply
    53,383.50x = 109,432.13 × 109,432.13
  4. Step 4: Simplify right side
    53,383.50x = 11,975,389,982.02
  5. Step 5: Solve for x
    x = 11,975,389,982.02/53,383.50
  6. Step 6: Final answer
    x = 224,327.55

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.