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Finding the Third Proportional to 131,200.88 and 208,868.63

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Solution

The third proportional to 131,200.88 and 208,868.63 is: 332,513.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,200.88 : 208,868.63 = 208,868.63 : x
  2. Step 2: Convert to fraction form
    131,200.88/208,868.63 = 208,868.63/x
  3. Step 3: Cross multiply
    131,200.88x = 208,868.63 × 208,868.63
  4. Step 4: Simplify right side
    131,200.88x = 43,626,102,509.39
  5. Step 5: Solve for x
    x = 43,626,102,509.39/131,200.88
  6. Step 6: Final answer
    x = 332,513.81

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.