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Finding the Third Proportional to 44,896 and 94,448

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Solution

The third proportional to 44,896 and 94,448 is: 198,690.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,896 : 94,448 = 94,448 : x
  2. Step 2: Convert to fraction form
    44,896/94,448 = 94,448/x
  3. Step 3: Cross multiply
    44,896x = 94,448 × 94,448
  4. Step 4: Simplify right side
    44,896x = 8,920,424,704
  5. Step 5: Solve for x
    x = 8,920,424,704/44,896
  6. Step 6: Final answer
    x = 198,690.86

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.