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Finding the Third Proportional to 103,213.13 and 152,903.25

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Solution

The third proportional to 103,213.13 and 152,903.25 is: 226,515.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,213.13 : 152,903.25 = 152,903.25 : x
  2. Step 2: Convert to fraction form
    103,213.13/152,903.25 = 152,903.25/x
  3. Step 3: Cross multiply
    103,213.13x = 152,903.25 × 152,903.25
  4. Step 4: Simplify right side
    103,213.13x = 23,379,403,860.56
  5. Step 5: Solve for x
    x = 23,379,403,860.56/103,213.13
  6. Step 6: Final answer
    x = 226,515.80

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.