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Finding the Third Proportional to 105,486.50 and 227,463.50

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Solution

The third proportional to 105,486.50 and 227,463.50 is: 490,485.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,486.50 : 227,463.50 = 227,463.50 : x
  2. Step 2: Convert to fraction form
    105,486.50/227,463.50 = 227,463.50/x
  3. Step 3: Cross multiply
    105,486.50x = 227,463.50 × 227,463.50
  4. Step 4: Simplify right side
    105,486.50x = 51,739,643,832.25
  5. Step 5: Solve for x
    x = 51,739,643,832.25/105,486.50
  6. Step 6: Final answer
    x = 490,485.93

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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.