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Finding the Third Proportional to 44,419 and 95,426

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Solution

The third proportional to 44,419 and 95,426 is: 205,005.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,419 : 95,426 = 95,426 : x
  2. Step 2: Convert to fraction form
    44,419/95,426 = 95,426/x
  3. Step 3: Cross multiply
    44,419x = 95,426 × 95,426
  4. Step 4: Simplify right side
    44,419x = 9,106,121,476
  5. Step 5: Solve for x
    x = 9,106,121,476/44,419
  6. Step 6: Final answer
    x = 205,005.10

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