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Finding the Third Proportional to 130,825.13 and 202,408.88

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Solution

The third proportional to 130,825.13 and 202,408.88 is: 313,161.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,825.13 : 202,408.88 = 202,408.88 : x
  2. Step 2: Convert to fraction form
    130,825.13/202,408.88 = 202,408.88/x
  3. Step 3: Cross multiply
    130,825.13x = 202,408.88 × 202,408.88
  4. Step 4: Simplify right side
    130,825.13x = 40,969,352,678.77
  5. Step 5: Solve for x
    x = 40,969,352,678.77/130,825.13
  6. Step 6: Final answer
    x = 313,161.20

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.