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Finding the Third Proportional to 133,001.44 and 291,841.88

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Solution

The third proportional to 133,001.44 and 291,841.88 is: 640,381.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,001.44 : 291,841.88 = 291,841.88 : x
  2. Step 2: Convert to fraction form
    133,001.44/291,841.88 = 291,841.88/x
  3. Step 3: Cross multiply
    133,001.44x = 291,841.88 × 291,841.88
  4. Step 4: Simplify right side
    133,001.44x = 85,171,680,003.52
  5. Step 5: Solve for x
    x = 85,171,680,003.52/133,001.44
  6. Step 6: Final answer
    x = 640,381.65

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.