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Finding the Third Proportional to 97,959.75 and 200,070.75

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Solution

The third proportional to 97,959.75 and 200,070.75 is: 408,619.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,959.75 : 200,070.75 = 200,070.75 : x
  2. Step 2: Convert to fraction form
    97,959.75/200,070.75 = 200,070.75/x
  3. Step 3: Cross multiply
    97,959.75x = 200,070.75 × 200,070.75
  4. Step 4: Simplify right side
    97,959.75x = 40,028,305,005.56
  5. Step 5: Solve for x
    x = 40,028,305,005.56/97,959.75
  6. Step 6: Final answer
    x = 408,619.92

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.