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Finding the Third Proportional to 95,319.84 and 198,534.66

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Solution

The third proportional to 95,319.84 and 198,534.66 is: 413,513.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,319.84 : 198,534.66 = 198,534.66 : x
  2. Step 2: Convert to fraction form
    95,319.84/198,534.66 = 198,534.66/x
  3. Step 3: Cross multiply
    95,319.84x = 198,534.66 × 198,534.66
  4. Step 4: Simplify right side
    95,319.84x = 39,416,009,732.31
  5. Step 5: Solve for x
    x = 39,416,009,732.31/95,319.84
  6. Step 6: Final answer
    x = 413,513.16

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.