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Finding the Third Proportional to 44,471 and 96,322

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Solution

The third proportional to 44,471 and 96,322 is: 208,628.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,471 : 96,322 = 96,322 : x
  2. Step 2: Convert to fraction form
    44,471/96,322 = 96,322/x
  3. Step 3: Cross multiply
    44,471x = 96,322 × 96,322
  4. Step 4: Simplify right side
    44,471x = 9,277,927,684
  5. Step 5: Solve for x
    x = 9,277,927,684/44,471
  6. Step 6: Final answer
    x = 208,628.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.