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Finding the Third Proportional to 103,224.75 and 150,854.06

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Solution

The third proportional to 103,224.75 and 150,854.06 is: 220,460.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,224.75 : 150,854.06 = 150,854.06 : x
  2. Step 2: Convert to fraction form
    103,224.75/150,854.06 = 150,854.06/x
  3. Step 3: Cross multiply
    103,224.75x = 150,854.06 × 150,854.06
  4. Step 4: Simplify right side
    103,224.75x = 22,756,948,172.75
  5. Step 5: Solve for x
    x = 22,756,948,172.75/103,224.75
  6. Step 6: Final answer
    x = 220,460.19

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.