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Finding the Third Proportional to 89,125.31 and 193,929.19

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Solution

The third proportional to 89,125.31 and 193,929.19 is: 421,973.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,125.31 : 193,929.19 = 193,929.19 : x
  2. Step 2: Convert to fraction form
    89,125.31/193,929.19 = 193,929.19/x
  3. Step 3: Cross multiply
    89,125.31x = 193,929.19 × 193,929.19
  4. Step 4: Simplify right side
    89,125.31x = 37,608,529,764.41
  5. Step 5: Solve for x
    x = 37,608,529,764.41/89,125.31
  6. Step 6: Final answer
    x = 421,973.61

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.