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Finding the Third Proportional to 109,933.88 and 164,251.13

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Solution

The third proportional to 109,933.88 and 164,251.13 is: 245,406.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,933.88 : 164,251.13 = 164,251.13 : x
  2. Step 2: Convert to fraction form
    109,933.88/164,251.13 = 164,251.13/x
  3. Step 3: Cross multiply
    109,933.88x = 164,251.13 × 164,251.13
  4. Step 4: Simplify right side
    109,933.88x = 26,978,432,063.77
  5. Step 5: Solve for x
    x = 26,978,432,063.77/109,933.88
  6. Step 6: Final answer
    x = 245,406.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.