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Finding the Third Proportional to 109,005.75 and 231,224.63

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Solution

The third proportional to 109,005.75 and 231,224.63 is: 490,477.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,005.75 : 231,224.63 = 231,224.63 : x
  2. Step 2: Convert to fraction form
    109,005.75/231,224.63 = 231,224.63/x
  3. Step 3: Cross multiply
    109,005.75x = 231,224.63 × 231,224.63
  4. Step 4: Simplify right side
    109,005.75x = 53,464,827,206.39
  5. Step 5: Solve for x
    x = 53,464,827,206.39/109,005.75
  6. Step 6: Final answer
    x = 490,477.13

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.