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Finding the Third Proportional to 106,874.44 and 233,431.88

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Solution

The third proportional to 106,874.44 and 233,431.88 is: 509,854.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,874.44 : 233,431.88 = 233,431.88 : x
  2. Step 2: Convert to fraction form
    106,874.44/233,431.88 = 233,431.88/x
  3. Step 3: Cross multiply
    106,874.44x = 233,431.88 × 233,431.88
  4. Step 4: Simplify right side
    106,874.44x = 54,490,440,266.02
  5. Step 5: Solve for x
    x = 54,490,440,266.02/106,874.44
  6. Step 6: Final answer
    x = 509,854.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.