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Finding the Third Proportional to 84,645.75 and 189,343.50

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Solution

The third proportional to 84,645.75 and 189,343.50 is: 423,541.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,645.75 : 189,343.50 = 189,343.50 : x
  2. Step 2: Convert to fraction form
    84,645.75/189,343.50 = 189,343.50/x
  3. Step 3: Cross multiply
    84,645.75x = 189,343.50 × 189,343.50
  4. Step 4: Simplify right side
    84,645.75x = 35,850,960,992.25
  5. Step 5: Solve for x
    x = 35,850,960,992.25/84,645.75
  6. Step 6: Final answer
    x = 423,541.18

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These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.