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Finding the Third Proportional to 105,979.64 and 230,366.53

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Solution

The third proportional to 105,979.64 and 230,366.53 is: 500,744.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,979.64 : 230,366.53 = 230,366.53 : x
  2. Step 2: Convert to fraction form
    105,979.64/230,366.53 = 230,366.53/x
  3. Step 3: Cross multiply
    105,979.64x = 230,366.53 × 230,366.53
  4. Step 4: Simplify right side
    105,979.64x = 53,068,738,720.16
  5. Step 5: Solve for x
    x = 53,068,738,720.16/105,979.64
  6. Step 6: Final answer
    x = 500,744.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.