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Finding the Third Proportional to 106,014.66 and 230,727.38

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Solution

The third proportional to 106,014.66 and 230,727.38 is: 502,148.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,014.66 : 230,727.38 = 230,727.38 : x
  2. Step 2: Convert to fraction form
    106,014.66/230,727.38 = 230,727.38/x
  3. Step 3: Cross multiply
    106,014.66x = 230,727.38 × 230,727.38
  4. Step 4: Simplify right side
    106,014.66x = 53,235,121,574.39
  5. Step 5: Solve for x
    x = 53,235,121,574.39/106,014.66
  6. Step 6: Final answer
    x = 502,148.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.