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Finding the Third Proportional to 102,725.63 and 208,276.13

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Solution

The third proportional to 102,725.63 and 208,276.13 is: 422,279.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,725.63 : 208,276.13 = 208,276.13 : x
  2. Step 2: Convert to fraction form
    102,725.63/208,276.13 = 208,276.13/x
  3. Step 3: Cross multiply
    102,725.63x = 208,276.13 × 208,276.13
  4. Step 4: Simplify right side
    102,725.63x = 43,378,944,245.02
  5. Step 5: Solve for x
    x = 43,378,944,245.02/102,725.63
  6. Step 6: Final answer
    x = 422,279.68

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.