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Finding the Third Proportional to 65,194.88 and 142,833.38

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Solution

The third proportional to 65,194.88 and 142,833.38 is: 312,929.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,194.88 : 142,833.38 = 142,833.38 : x
  2. Step 2: Convert to fraction form
    65,194.88/142,833.38 = 142,833.38/x
  3. Step 3: Cross multiply
    65,194.88x = 142,833.38 × 142,833.38
  4. Step 4: Simplify right side
    65,194.88x = 20,401,373,013.89
  5. Step 5: Solve for x
    x = 20,401,373,013.89/65,194.88
  6. Step 6: Final answer
    x = 312,929.09

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.