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Finding the Third Proportional to 118,225.13 and 165,893.63

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Solution

The third proportional to 118,225.13 and 165,893.63 is: 232,782.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,225.13 : 165,893.63 = 165,893.63 : x
  2. Step 2: Convert to fraction form
    118,225.13/165,893.63 = 165,893.63/x
  3. Step 3: Cross multiply
    118,225.13x = 165,893.63 × 165,893.63
  4. Step 4: Simplify right side
    118,225.13x = 27,520,694,815.64
  5. Step 5: Solve for x
    x = 27,520,694,815.64/118,225.13
  6. Step 6: Final answer
    x = 232,782.12

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.