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Finding the Third Proportional to 88,668 and 191,248

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Solution

The third proportional to 88,668 and 191,248 is: 412,502.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,668 : 191,248 = 191,248 : x
  2. Step 2: Convert to fraction form
    88,668/191,248 = 191,248/x
  3. Step 3: Cross multiply
    88,668x = 191,248 × 191,248
  4. Step 4: Simplify right side
    88,668x = 36,575,797,504
  5. Step 5: Solve for x
    x = 36,575,797,504/88,668
  6. Step 6: Final answer
    x = 412,502.79

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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.