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Finding the Third Proportional to 95,730.19 and 199,337.63

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Solution

The third proportional to 95,730.19 and 199,337.63 is: 415,077.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,730.19 : 199,337.63 = 199,337.63 : x
  2. Step 2: Convert to fraction form
    95,730.19/199,337.63 = 199,337.63/x
  3. Step 3: Cross multiply
    95,730.19x = 199,337.63 × 199,337.63
  4. Step 4: Simplify right side
    95,730.19x = 39,735,488,740.64
  5. Step 5: Solve for x
    x = 39,735,488,740.64/95,730.19
  6. Step 6: Final answer
    x = 415,077.94

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