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Finding the Third Proportional to 96,136.88 and 210,402.56

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Solution

The third proportional to 96,136.88 and 210,402.56 is: 460,481.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,136.88 : 210,402.56 = 210,402.56 : x
  2. Step 2: Convert to fraction form
    96,136.88/210,402.56 = 210,402.56/x
  3. Step 3: Cross multiply
    96,136.88x = 210,402.56 × 210,402.56
  4. Step 4: Simplify right side
    96,136.88x = 44,269,238,306.57
  5. Step 5: Solve for x
    x = 44,269,238,306.57/96,136.88
  6. Step 6: Final answer
    x = 460,481.35

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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.