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Finding the Third Proportional to 123,109.88 and 264,609.28

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Solution

The third proportional to 123,109.88 and 264,609.28 is: 568,744.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,109.88 : 264,609.28 = 264,609.28 : x
  2. Step 2: Convert to fraction form
    123,109.88/264,609.28 = 264,609.28/x
  3. Step 3: Cross multiply
    123,109.88x = 264,609.28 × 264,609.28
  4. Step 4: Simplify right side
    123,109.88x = 70,018,071,723.64
  5. Step 5: Solve for x
    x = 70,018,071,723.64/123,109.88
  6. Step 6: Final answer
    x = 568,744.56

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.