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Finding the Third Proportional to 109,180.13 and 231,482.06

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Solution

The third proportional to 109,180.13 and 231,482.06 is: 490,784.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,180.13 : 231,482.06 = 231,482.06 : x
  2. Step 2: Convert to fraction form
    109,180.13/231,482.06 = 231,482.06/x
  3. Step 3: Cross multiply
    109,180.13x = 231,482.06 × 231,482.06
  4. Step 4: Simplify right side
    109,180.13x = 53,583,945,259.25
  5. Step 5: Solve for x
    x = 53,583,945,259.25/109,180.13
  6. Step 6: Final answer
    x = 490,784.79

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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.