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Finding the Third Proportional to 95,800.85 and 197,752.64

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Solution

The third proportional to 95,800.85 and 197,752.64 is: 408,202.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,800.85 : 197,752.64 = 197,752.64 : x
  2. Step 2: Convert to fraction form
    95,800.85/197,752.64 = 197,752.64/x
  3. Step 3: Cross multiply
    95,800.85x = 197,752.64 × 197,752.64
  4. Step 4: Simplify right side
    95,800.85x = 39,106,106,874.16
  5. Step 5: Solve for x
    x = 39,106,106,874.16/95,800.85
  6. Step 6: Final answer
    x = 408,202.08

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.