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Finding the Third Proportional to 104,928.75 and 229,065.89

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Solution

The third proportional to 104,928.75 and 229,065.89 is: 500,064.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,928.75 : 229,065.89 = 229,065.89 : x
  2. Step 2: Convert to fraction form
    104,928.75/229,065.89 = 229,065.89/x
  3. Step 3: Cross multiply
    104,928.75x = 229,065.89 × 229,065.89
  4. Step 4: Simplify right side
    104,928.75x = 52,471,182,247.82
  5. Step 5: Solve for x
    x = 52,471,182,247.82/104,928.75
  6. Step 6: Final answer
    x = 500,064.87

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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.