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Finding the Third Proportional to 130,144.22 and 196,855.31

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Solution

The third proportional to 130,144.22 and 196,855.31 is: 297,762.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,144.22 : 196,855.31 = 196,855.31 : x
  2. Step 2: Convert to fraction form
    130,144.22/196,855.31 = 196,855.31/x
  3. Step 3: Cross multiply
    130,144.22x = 196,855.31 × 196,855.31
  4. Step 4: Simplify right side
    130,144.22x = 38,752,014,059.47
  5. Step 5: Solve for x
    x = 38,752,014,059.47/130,144.22
  6. Step 6: Final answer
    x = 297,762.09

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.