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Finding the Third Proportional to 105,727.50 and 227,959.13

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Solution

The third proportional to 105,727.50 and 227,959.13 is: 491,502.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,727.50 : 227,959.13 = 227,959.13 : x
  2. Step 2: Convert to fraction form
    105,727.50/227,959.13 = 227,959.13/x
  3. Step 3: Cross multiply
    105,727.50x = 227,959.13 × 227,959.13
  4. Step 4: Simplify right side
    105,727.50x = 51,965,362,670.77
  5. Step 5: Solve for x
    x = 51,965,362,670.77/105,727.50
  6. Step 6: Final answer
    x = 491,502.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.