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Finding the Third Proportional to 107,288.44 and 233,011.69

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Solution

The third proportional to 107,288.44 and 233,011.69 is: 506,060.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,288.44 : 233,011.69 = 233,011.69 : x
  2. Step 2: Convert to fraction form
    107,288.44/233,011.69 = 233,011.69/x
  3. Step 3: Cross multiply
    107,288.44x = 233,011.69 × 233,011.69
  4. Step 4: Simplify right side
    107,288.44x = 54,294,446,511.60
  5. Step 5: Solve for x
    x = 54,294,446,511.60/107,288.44
  6. Step 6: Final answer
    x = 506,060.56

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.