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Finding the Third Proportional to 105,513.47 and 214,930.13

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Solution

The third proportional to 105,513.47 and 214,930.13 is: 437,811.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,513.47 : 214,930.13 = 214,930.13 : x
  2. Step 2: Convert to fraction form
    105,513.47/214,930.13 = 214,930.13/x
  3. Step 3: Cross multiply
    105,513.47x = 214,930.13 × 214,930.13
  4. Step 4: Simplify right side
    105,513.47x = 46,194,958,632.52
  5. Step 5: Solve for x
    x = 46,194,958,632.52/105,513.47
  6. Step 6: Final answer
    x = 437,811.01

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.