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Finding the Third Proportional to 40,145.91 and 87,445.13

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Solution

The third proportional to 40,145.91 and 87,445.13 is: 190,471.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,145.91 : 87,445.13 = 87,445.13 : x
  2. Step 2: Convert to fraction form
    40,145.91/87,445.13 = 87,445.13/x
  3. Step 3: Cross multiply
    40,145.91x = 87,445.13 × 87,445.13
  4. Step 4: Simplify right side
    40,145.91x = 7,646,649,886.27
  5. Step 5: Solve for x
    x = 7,646,649,886.27/40,145.91
  6. Step 6: Final answer
    x = 190,471.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.