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Finding the Third Proportional to 97,370.25 and 202,479.75

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Solution

The third proportional to 97,370.25 and 202,479.75 is: 421,053.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,370.25 : 202,479.75 = 202,479.75 : x
  2. Step 2: Convert to fraction form
    97,370.25/202,479.75 = 202,479.75/x
  3. Step 3: Cross multiply
    97,370.25x = 202,479.75 × 202,479.75
  4. Step 4: Simplify right side
    97,370.25x = 40,998,049,160.06
  5. Step 5: Solve for x
    x = 40,998,049,160.06/97,370.25
  6. Step 6: Final answer
    x = 421,053.14

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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.