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Finding the Third Proportional to 40,567.50 and 87,980.63

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Solution

The third proportional to 40,567.50 and 87,980.63 is: 190,807.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,567.50 : 87,980.63 = 87,980.63 : x
  2. Step 2: Convert to fraction form
    40,567.50/87,980.63 = 87,980.63/x
  3. Step 3: Cross multiply
    40,567.50x = 87,980.63 × 87,980.63
  4. Step 4: Simplify right side
    40,567.50x = 7,740,590,375.39
  5. Step 5: Solve for x
    x = 7,740,590,375.39/40,567.50
  6. Step 6: Final answer
    x = 190,807.68

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