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Finding the Third Proportional to 103,919.63 and 152,178.19

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Solution

The third proportional to 103,919.63 and 152,178.19 is: 222,847.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,919.63 : 152,178.19 = 152,178.19 : x
  2. Step 2: Convert to fraction form
    103,919.63/152,178.19 = 152,178.19/x
  3. Step 3: Cross multiply
    103,919.63x = 152,178.19 × 152,178.19
  4. Step 4: Simplify right side
    103,919.63x = 23,158,200,750.79
  5. Step 5: Solve for x
    x = 23,158,200,750.79/103,919.63
  6. Step 6: Final answer
    x = 222,847.23

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Why These Related Problems?

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