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Finding the Third Proportional to 44,231 and 93,453

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Solution

The third proportional to 44,231 and 93,453 is: 197,451.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,231 : 93,453 = 93,453 : x
  2. Step 2: Convert to fraction form
    44,231/93,453 = 93,453/x
  3. Step 3: Cross multiply
    44,231x = 93,453 × 93,453
  4. Step 4: Simplify right side
    44,231x = 8,733,463,209
  5. Step 5: Solve for x
    x = 8,733,463,209/44,231
  6. Step 6: Final answer
    x = 197,451.18

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.