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Finding the Third Proportional to 133,019.81 and 291,909.19

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Solution

The third proportional to 133,019.81 and 291,909.19 is: 640,588.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,019.81 : 291,909.19 = 291,909.19 : x
  2. Step 2: Convert to fraction form
    133,019.81/291,909.19 = 291,909.19/x
  3. Step 3: Cross multiply
    133,019.81x = 291,909.19 × 291,909.19
  4. Step 4: Simplify right side
    133,019.81x = 85,210,973,746.91
  5. Step 5: Solve for x
    x = 85,210,973,746.91/133,019.81
  6. Step 6: Final answer
    x = 640,588.59

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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.