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Finding the Third Proportional to 107,761.50 and 229,158

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Solution

The third proportional to 107,761.50 and 229,158 is: 487,311.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,761.50 : 229,158 = 229,158 : x
  2. Step 2: Convert to fraction form
    107,761.50/229,158 = 229,158/x
  3. Step 3: Cross multiply
    107,761.50x = 229,158 × 229,158
  4. Step 4: Simplify right side
    107,761.50x = 52,513,388,964
  5. Step 5: Solve for x
    x = 52,513,388,964/107,761.50
  6. Step 6: Final answer
    x = 487,311.23

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.