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Finding the Third Proportional to 133,007.06 and 291,859.88

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Solution

The third proportional to 133,007.06 and 291,859.88 is: 640,433.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,007.06 : 291,859.88 = 291,859.88 : x
  2. Step 2: Convert to fraction form
    133,007.06/291,859.88 = 291,859.88/x
  3. Step 3: Cross multiply
    133,007.06x = 291,859.88 × 291,859.88
  4. Step 4: Simplify right side
    133,007.06x = 85,182,186,635.02
  5. Step 5: Solve for x
    x = 85,182,186,635.02/133,007.06
  6. Step 6: Final answer
    x = 640,433.56

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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.