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Finding the Third Proportional to 102,125.81 and 218,279.81

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Solution

The third proportional to 102,125.81 and 218,279.81 is: 466,542.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,125.81 : 218,279.81 = 218,279.81 : x
  2. Step 2: Convert to fraction form
    102,125.81/218,279.81 = 218,279.81/x
  3. Step 3: Cross multiply
    102,125.81x = 218,279.81 × 218,279.81
  4. Step 4: Simplify right side
    102,125.81x = 47,646,076,545.04
  5. Step 5: Solve for x
    x = 47,646,076,545.04/102,125.81
  6. Step 6: Final answer
    x = 466,542.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.