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Finding the Third Proportional to 109,204.88 and 169,639.31

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Solution

The third proportional to 109,204.88 and 169,639.31 is: 263,518.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,204.88 : 169,639.31 = 169,639.31 : x
  2. Step 2: Convert to fraction form
    109,204.88/169,639.31 = 169,639.31/x
  3. Step 3: Cross multiply
    109,204.88x = 169,639.31 × 169,639.31
  4. Step 4: Simplify right side
    109,204.88x = 28,777,496,345.47
  5. Step 5: Solve for x
    x = 28,777,496,345.47/109,204.88
  6. Step 6: Final answer
    x = 263,518.42

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.