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Finding the Third Proportional to 102,323.25 and 215,250.38

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Solution

The third proportional to 102,323.25 and 215,250.38 is: 452,807.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,323.25 : 215,250.38 = 215,250.38 : x
  2. Step 2: Convert to fraction form
    102,323.25/215,250.38 = 215,250.38/x
  3. Step 3: Cross multiply
    102,323.25x = 215,250.38 × 215,250.38
  4. Step 4: Simplify right side
    102,323.25x = 46,332,723,937.64
  5. Step 5: Solve for x
    x = 46,332,723,937.64/102,323.25
  6. Step 6: Final answer
    x = 452,807.39

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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.