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Finding the Third Proportional to 110,337.75 and 233,916.96

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Solution

The third proportional to 110,337.75 and 233,916.96 is: 495,905.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,337.75 : 233,916.96 = 233,916.96 : x
  2. Step 2: Convert to fraction form
    110,337.75/233,916.96 = 233,916.96/x
  3. Step 3: Cross multiply
    110,337.75x = 233,916.96 × 233,916.96
  4. Step 4: Simplify right side
    110,337.75x = 54,717,144,614.24
  5. Step 5: Solve for x
    x = 54,717,144,614.24/110,337.75
  6. Step 6: Final answer
    x = 495,905.93

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.