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Finding the Third Proportional to 86,470.50 and 189,343.50

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Solution

The third proportional to 86,470.50 and 189,343.50 is: 414,603.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,470.50 : 189,343.50 = 189,343.50 : x
  2. Step 2: Convert to fraction form
    86,470.50/189,343.50 = 189,343.50/x
  3. Step 3: Cross multiply
    86,470.50x = 189,343.50 × 189,343.50
  4. Step 4: Simplify right side
    86,470.50x = 35,850,960,992.25
  5. Step 5: Solve for x
    x = 35,850,960,992.25/86,470.50
  6. Step 6: Final answer
    x = 414,603.37

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.