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Finding the Third Proportional to 131,214.88 and 196,788.13

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Solution

The third proportional to 131,214.88 and 196,788.13 is: 295,130.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,214.88 : 196,788.13 = 196,788.13 : x
  2. Step 2: Convert to fraction form
    131,214.88/196,788.13 = 196,788.13/x
  3. Step 3: Cross multiply
    131,214.88x = 196,788.13 × 196,788.13
  4. Step 4: Simplify right side
    131,214.88x = 38,725,566,141.02
  5. Step 5: Solve for x
    x = 38,725,566,141.02/131,214.88
  6. Step 6: Final answer
    x = 295,130.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.