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Finding the Third Proportional to 105,211.13 and 227,030.63

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Solution

The third proportional to 105,211.13 and 227,030.63 is: 489,899.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,211.13 : 227,030.63 = 227,030.63 : x
  2. Step 2: Convert to fraction form
    105,211.13/227,030.63 = 227,030.63/x
  3. Step 3: Cross multiply
    105,211.13x = 227,030.63 × 227,030.63
  4. Step 4: Simplify right side
    105,211.13x = 51,542,904,687.89
  5. Step 5: Solve for x
    x = 51,542,904,687.89/105,211.13
  6. Step 6: Final answer
    x = 489,899.76

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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.