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Finding the Third Proportional to 131,635.13 and 195,514.88

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Solution

The third proportional to 131,635.13 and 195,514.88 is: 290,394.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,635.13 : 195,514.88 = 195,514.88 : x
  2. Step 2: Convert to fraction form
    131,635.13/195,514.88 = 195,514.88/x
  3. Step 3: Cross multiply
    131,635.13x = 195,514.88 × 195,514.88
  4. Step 4: Simplify right side
    131,635.13x = 38,226,066,346.27
  5. Step 5: Solve for x
    x = 38,226,066,346.27/131,635.13
  6. Step 6: Final answer
    x = 290,394.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.