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Finding the Third Proportional to 133,073.11 and 291,909.68

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Solution

The third proportional to 133,073.11 and 291,909.68 is: 640,334.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,073.11 : 291,909.68 = 291,909.68 : x
  2. Step 2: Convert to fraction form
    133,073.11/291,909.68 = 291,909.68/x
  3. Step 3: Cross multiply
    133,073.11x = 291,909.68 × 291,909.68
  4. Step 4: Simplify right side
    133,073.11x = 85,211,262,805.66
  5. Step 5: Solve for x
    x = 85,211,262,805.66/133,073.11
  6. Step 6: Final answer
    x = 640,334.18

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Why These Related Problems?

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