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Finding the Third Proportional to 87,623.25 and 191,462.25

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Solution

The third proportional to 87,623.25 and 191,462.25 is: 418,356.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,623.25 : 191,462.25 = 191,462.25 : x
  2. Step 2: Convert to fraction form
    87,623.25/191,462.25 = 191,462.25/x
  3. Step 3: Cross multiply
    87,623.25x = 191,462.25 × 191,462.25
  4. Step 4: Simplify right side
    87,623.25x = 36,657,793,175.06
  5. Step 5: Solve for x
    x = 36,657,793,175.06/87,623.25
  6. Step 6: Final answer
    x = 418,356.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.