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Finding the Third Proportional to 46,496 and 95,464

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Solution

The third proportional to 46,496 and 95,464 is: 196,003.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,496 : 95,464 = 95,464 : x
  2. Step 2: Convert to fraction form
    46,496/95,464 = 95,464/x
  3. Step 3: Cross multiply
    46,496x = 95,464 × 95,464
  4. Step 4: Simplify right side
    46,496x = 9,113,375,296
  5. Step 5: Solve for x
    x = 9,113,375,296/46,496
  6. Step 6: Final answer
    x = 196,003.43

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.