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Finding the Third Proportional to 103,120.59 and 223,737.19

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Solution

The third proportional to 103,120.59 and 223,737.19 is: 485,434.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,120.59 : 223,737.19 = 223,737.19 : x
  2. Step 2: Convert to fraction form
    103,120.59/223,737.19 = 223,737.19/x
  3. Step 3: Cross multiply
    103,120.59x = 223,737.19 × 223,737.19
  4. Step 4: Simplify right side
    103,120.59x = 50,058,329,070.41
  5. Step 5: Solve for x
    x = 50,058,329,070.41/103,120.59
  6. Step 6: Final answer
    x = 485,434.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.