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Finding the Third Proportional to 104,376.09 and 232,657.31

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Solution

The third proportional to 104,376.09 and 232,657.31 is: 518,599.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,376.09 : 232,657.31 = 232,657.31 : x
  2. Step 2: Convert to fraction form
    104,376.09/232,657.31 = 232,657.31/x
  3. Step 3: Cross multiply
    104,376.09x = 232,657.31 × 232,657.31
  4. Step 4: Simplify right side
    104,376.09x = 54,129,425,059.72
  5. Step 5: Solve for x
    x = 54,129,425,059.72/104,376.09
  6. Step 6: Final answer
    x = 518,599.84

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.