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Finding the Third Proportional to 45,685 and 96,368

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Solution

The third proportional to 45,685 and 96,368 is: 203,278.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,685 : 96,368 = 96,368 : x
  2. Step 2: Convert to fraction form
    45,685/96,368 = 96,368/x
  3. Step 3: Cross multiply
    45,685x = 96,368 × 96,368
  4. Step 4: Simplify right side
    45,685x = 9,286,791,424
  5. Step 5: Solve for x
    x = 9,286,791,424/45,685
  6. Step 6: Final answer
    x = 203,278.79

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.