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Finding the Third Proportional to 44,410 and 95,408

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Solution

The third proportional to 44,410 and 95,408 is: 204,969.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,410 : 95,408 = 95,408 : x
  2. Step 2: Convert to fraction form
    44,410/95,408 = 95,408/x
  3. Step 3: Cross multiply
    44,410x = 95,408 × 95,408
  4. Step 4: Simplify right side
    44,410x = 9,102,686,464
  5. Step 5: Solve for x
    x = 9,102,686,464/44,410
  6. Step 6: Final answer
    x = 204,969.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.