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Finding the Third Proportional to 40,435.31 and 87,742.69

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Solution

The third proportional to 40,435.31 and 87,742.69 is: 190,397.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,435.31 : 87,742.69 = 87,742.69 : x
  2. Step 2: Convert to fraction form
    40,435.31/87,742.69 = 87,742.69/x
  3. Step 3: Cross multiply
    40,435.31x = 87,742.69 × 87,742.69
  4. Step 4: Simplify right side
    40,435.31x = 7,698,779,209.72
  5. Step 5: Solve for x
    x = 7,698,779,209.72/40,435.31
  6. Step 6: Final answer
    x = 190,397.42

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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.