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Finding the Third Proportional to 78,070.22 and 167,980.50

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Solution

The third proportional to 78,070.22 and 167,980.50 is: 361,436.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,070.22 : 167,980.50 = 167,980.50 : x
  2. Step 2: Convert to fraction form
    78,070.22/167,980.50 = 167,980.50/x
  3. Step 3: Cross multiply
    78,070.22x = 167,980.50 × 167,980.50
  4. Step 4: Simplify right side
    78,070.22x = 28,217,448,380.25
  5. Step 5: Solve for x
    x = 28,217,448,380.25/78,070.22
  6. Step 6: Final answer
    x = 361,436.78

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.