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Finding the Third Proportional to 43,202.53 and 89,402.34

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Solution

The third proportional to 43,202.53 and 89,402.34 is: 185,007.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,202.53 : 89,402.34 = 89,402.34 : x
  2. Step 2: Convert to fraction form
    43,202.53/89,402.34 = 89,402.34/x
  3. Step 3: Cross multiply
    43,202.53x = 89,402.34 × 89,402.34
  4. Step 4: Simplify right side
    43,202.53x = 7,992,779,067.99
  5. Step 5: Solve for x
    x = 7,992,779,067.99/43,202.53
  6. Step 6: Final answer
    x = 185,007.19

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.