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Finding the Third Proportional to 141,967.69 and 218,208.94

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Solution

The third proportional to 141,967.69 and 218,208.94 is: 335,394.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,967.69 : 218,208.94 = 218,208.94 : x
  2. Step 2: Convert to fraction form
    141,967.69/218,208.94 = 218,208.94/x
  3. Step 3: Cross multiply
    141,967.69x = 218,208.94 × 218,208.94
  4. Step 4: Simplify right side
    141,967.69x = 47,615,140,404.88
  5. Step 5: Solve for x
    x = 47,615,140,404.88/141,967.69
  6. Step 6: Final answer
    x = 335,394.21

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.