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Finding the Third Proportional to 44,391 and 96,615

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Solution

The third proportional to 44,391 and 96,615 is: 210,278.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,391 : 96,615 = 96,615 : x
  2. Step 2: Convert to fraction form
    44,391/96,615 = 96,615/x
  3. Step 3: Cross multiply
    44,391x = 96,615 × 96,615
  4. Step 4: Simplify right side
    44,391x = 9,334,458,225
  5. Step 5: Solve for x
    x = 9,334,458,225/44,391
  6. Step 6: Final answer
    x = 210,278.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.