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Finding the Third Proportional to 90,297 and 195,660

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Solution

The third proportional to 90,297 and 195,660 is: 423,965.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,297 : 195,660 = 195,660 : x
  2. Step 2: Convert to fraction form
    90,297/195,660 = 195,660/x
  3. Step 3: Cross multiply
    90,297x = 195,660 × 195,660
  4. Step 4: Simplify right side
    90,297x = 38,282,835,600
  5. Step 5: Solve for x
    x = 38,282,835,600/90,297
  6. Step 6: Final answer
    x = 423,965.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.