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Finding the Third Proportional to 130,138.88 and 196,849.13

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Solution

The third proportional to 130,138.88 and 196,849.13 is: 297,755.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,138.88 : 196,849.13 = 196,849.13 : x
  2. Step 2: Convert to fraction form
    130,138.88/196,849.13 = 196,849.13/x
  3. Step 3: Cross multiply
    130,138.88x = 196,849.13 × 196,849.13
  4. Step 4: Simplify right side
    130,138.88x = 38,749,578,013.27
  5. Step 5: Solve for x
    x = 38,749,578,013.27/130,138.88
  6. Step 6: Final answer
    x = 297,755.59

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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.