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Finding the Third Proportional to 78,802.88 and 168,676.59

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Solution

The third proportional to 78,802.88 and 168,676.59 is: 361,050.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,802.88 : 168,676.59 = 168,676.59 : x
  2. Step 2: Convert to fraction form
    78,802.88/168,676.59 = 168,676.59/x
  3. Step 3: Cross multiply
    78,802.88x = 168,676.59 × 168,676.59
  4. Step 4: Simplify right side
    78,802.88x = 28,451,793,279.10
  5. Step 5: Solve for x
    x = 28,451,793,279.10/78,802.88
  6. Step 6: Final answer
    x = 361,050.19

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.