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Finding the Third Proportional to 40,106.39 and 87,191.44

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Solution

The third proportional to 40,106.39 and 87,191.44 is: 189,554.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,106.39 : 87,191.44 = 87,191.44 : x
  2. Step 2: Convert to fraction form
    40,106.39/87,191.44 = 87,191.44/x
  3. Step 3: Cross multiply
    40,106.39x = 87,191.44 × 87,191.44
  4. Step 4: Simplify right side
    40,106.39x = 7,602,346,773.32
  5. Step 5: Solve for x
    x = 7,602,346,773.32/40,106.39
  6. Step 6: Final answer
    x = 189,554.50

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Why These Related Problems?

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