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Finding the Third Proportional to 105,625.13 and 218,631.38

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Solution

The third proportional to 105,625.13 and 218,631.38 is: 452,540.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,625.13 : 218,631.38 = 218,631.38 : x
  2. Step 2: Convert to fraction form
    105,625.13/218,631.38 = 218,631.38/x
  3. Step 3: Cross multiply
    105,625.13x = 218,631.38 × 218,631.38
  4. Step 4: Simplify right side
    105,625.13x = 47,799,678,134.39
  5. Step 5: Solve for x
    x = 47,799,678,134.39/105,625.13
  6. Step 6: Final answer
    x = 452,540.80

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.