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Finding the Third Proportional to 95,066.16 and 192,763.55

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Solution

The third proportional to 95,066.16 and 192,763.55 is: 390,862.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,066.16 : 192,763.55 = 192,763.55 : x
  2. Step 2: Convert to fraction form
    95,066.16/192,763.55 = 192,763.55/x
  3. Step 3: Cross multiply
    95,066.16x = 192,763.55 × 192,763.55
  4. Step 4: Simplify right side
    95,066.16x = 37,157,785,003.83
  5. Step 5: Solve for x
    x = 37,157,785,003.83/95,066.16
  6. Step 6: Final answer
    x = 390,862.39

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.