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Finding the Third Proportional to 44,478 and 96,057

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Solution

The third proportional to 44,478 and 96,057 is: 207,449.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,478 : 96,057 = 96,057 : x
  2. Step 2: Convert to fraction form
    44,478/96,057 = 96,057/x
  3. Step 3: Cross multiply
    44,478x = 96,057 × 96,057
  4. Step 4: Simplify right side
    44,478x = 9,226,947,249
  5. Step 5: Solve for x
    x = 9,226,947,249/44,478
  6. Step 6: Final answer
    x = 207,449.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.