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Finding the Third Proportional to 108,630.84 and 159,057.56

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Solution

The third proportional to 108,630.84 and 159,057.56 is: 232,892.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,630.84 : 159,057.56 = 159,057.56 : x
  2. Step 2: Convert to fraction form
    108,630.84/159,057.56 = 159,057.56/x
  3. Step 3: Cross multiply
    108,630.84x = 159,057.56 × 159,057.56
  4. Step 4: Simplify right side
    108,630.84x = 25,299,308,188.44
  5. Step 5: Solve for x
    x = 25,299,308,188.44/108,630.84
  6. Step 6: Final answer
    x = 232,892.49

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.