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Finding the Third Proportional to 88,695 and 191,466

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Solution

The third proportional to 88,695 and 191,466 is: 413,317.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,695 : 191,466 = 191,466 : x
  2. Step 2: Convert to fraction form
    88,695/191,466 = 191,466/x
  3. Step 3: Cross multiply
    88,695x = 191,466 × 191,466
  4. Step 4: Simplify right side
    88,695x = 36,659,229,156
  5. Step 5: Solve for x
    x = 36,659,229,156/88,695
  6. Step 6: Final answer
    x = 413,317.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.