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Finding the Third Proportional to 40,294.69 and 87,585.61

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Solution

The third proportional to 40,294.69 and 87,585.61 is: 190,378.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,294.69 : 87,585.61 = 87,585.61 : x
  2. Step 2: Convert to fraction form
    40,294.69/87,585.61 = 87,585.61/x
  3. Step 3: Cross multiply
    40,294.69x = 87,585.61 × 87,585.61
  4. Step 4: Simplify right side
    40,294.69x = 7,671,238,969.59
  5. Step 5: Solve for x
    x = 7,671,238,969.59/40,294.69
  6. Step 6: Final answer
    x = 190,378.42

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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.