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Finding the Third Proportional to 133,282.13 and 211,010.06

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Solution

The third proportional to 133,282.13 and 211,010.06 is: 334,067.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,282.13 : 211,010.06 = 211,010.06 : x
  2. Step 2: Convert to fraction form
    133,282.13/211,010.06 = 211,010.06/x
  3. Step 3: Cross multiply
    133,282.13x = 211,010.06 × 211,010.06
  4. Step 4: Simplify right side
    133,282.13x = 44,525,246,476.25
  5. Step 5: Solve for x
    x = 44,525,246,476.25/133,282.13
  6. Step 6: Final answer
    x = 334,067.65

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.