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Finding the Third Proportional to 105,516.56 and 231,044.06

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Solution

The third proportional to 105,516.56 and 231,044.06 is: 505,905.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,516.56 : 231,044.06 = 231,044.06 : x
  2. Step 2: Convert to fraction form
    105,516.56/231,044.06 = 231,044.06/x
  3. Step 3: Cross multiply
    105,516.56x = 231,044.06 × 231,044.06
  4. Step 4: Simplify right side
    105,516.56x = 53,381,358,816.50
  5. Step 5: Solve for x
    x = 53,381,358,816.50/105,516.56
  6. Step 6: Final answer
    x = 505,905.02

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Why These Related Problems?

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