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Finding the Third Proportional to 44,295 and 96,859

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Solution

The third proportional to 44,295 and 96,859 is: 211,799.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,295 : 96,859 = 96,859 : x
  2. Step 2: Convert to fraction form
    44,295/96,859 = 96,859/x
  3. Step 3: Cross multiply
    44,295x = 96,859 × 96,859
  4. Step 4: Simplify right side
    44,295x = 9,381,665,881
  5. Step 5: Solve for x
    x = 9,381,665,881/44,295
  6. Step 6: Final answer
    x = 211,799.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.