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Finding the Third Proportional to 121,983.15 and 264,329.89

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Solution

The third proportional to 121,983.15 and 264,329.89 is: 572,786.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,983.15 : 264,329.89 = 264,329.89 : x
  2. Step 2: Convert to fraction form
    121,983.15/264,329.89 = 264,329.89/x
  3. Step 3: Cross multiply
    121,983.15x = 264,329.89 × 264,329.89
  4. Step 4: Simplify right side
    121,983.15x = 69,870,293,142.90
  5. Step 5: Solve for x
    x = 69,870,293,142.90/121,983.15
  6. Step 6: Final answer
    x = 572,786.42

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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.