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Finding the Third Proportional to 90,963 and 191,351.25

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Solution

The third proportional to 90,963 and 191,351.25 is: 402,529.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,963 : 191,351.25 = 191,351.25 : x
  2. Step 2: Convert to fraction form
    90,963/191,351.25 = 191,351.25/x
  3. Step 3: Cross multiply
    90,963x = 191,351.25 × 191,351.25
  4. Step 4: Simplify right side
    90,963x = 36,615,300,876.56
  5. Step 5: Solve for x
    x = 36,615,300,876.56/90,963
  6. Step 6: Final answer
    x = 402,529.61

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.