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Finding the Third Proportional to 45,384.75 and 109,815.75

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Solution

The third proportional to 45,384.75 and 109,815.75 is: 265,716.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,384.75 : 109,815.75 = 109,815.75 : x
  2. Step 2: Convert to fraction form
    45,384.75/109,815.75 = 109,815.75/x
  3. Step 3: Cross multiply
    45,384.75x = 109,815.75 × 109,815.75
  4. Step 4: Simplify right side
    45,384.75x = 12,059,498,948.06
  5. Step 5: Solve for x
    x = 12,059,498,948.06/45,384.75
  6. Step 6: Final answer
    x = 265,716.99

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.