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Finding the Third Proportional to 103,218.05 and 145,355.77

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Solution

The third proportional to 103,218.05 and 145,355.77 is: 204,695.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,218.05 : 145,355.77 = 145,355.77 : x
  2. Step 2: Convert to fraction form
    103,218.05/145,355.77 = 145,355.77/x
  3. Step 3: Cross multiply
    103,218.05x = 145,355.77 × 145,355.77
  4. Step 4: Simplify right side
    103,218.05x = 21,128,298,600.43
  5. Step 5: Solve for x
    x = 21,128,298,600.43/103,218.05
  6. Step 6: Final answer
    x = 204,695.78

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.