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Finding the Third Proportional to 105,568.31 and 229,726.13

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Solution

The third proportional to 105,568.31 and 229,726.13 is: 499,904.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,568.31 : 229,726.13 = 229,726.13 : x
  2. Step 2: Convert to fraction form
    105,568.31/229,726.13 = 229,726.13/x
  3. Step 3: Cross multiply
    105,568.31x = 229,726.13 × 229,726.13
  4. Step 4: Simplify right side
    105,568.31x = 52,774,092,507.52
  5. Step 5: Solve for x
    x = 52,774,092,507.52/105,568.31
  6. Step 6: Final answer
    x = 499,904.67

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