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Finding the Third Proportional to 103,698.56 and 227,437.88

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Solution

The third proportional to 103,698.56 and 227,437.88 is: 498,830.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,698.56 : 227,437.88 = 227,437.88 : x
  2. Step 2: Convert to fraction form
    103,698.56/227,437.88 = 227,437.88/x
  3. Step 3: Cross multiply
    103,698.56x = 227,437.88 × 227,437.88
  4. Step 4: Simplify right side
    103,698.56x = 51,727,986,984.52
  5. Step 5: Solve for x
    x = 51,727,986,984.52/103,698.56
  6. Step 6: Final answer
    x = 498,830.32

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.