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Finding the Third Proportional to 40,675.13 and 88,193.25

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Solution

The third proportional to 40,675.13 and 88,193.25 is: 191,223.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,675.13 : 88,193.25 = 88,193.25 : x
  2. Step 2: Convert to fraction form
    40,675.13/88,193.25 = 88,193.25/x
  3. Step 3: Cross multiply
    40,675.13x = 88,193.25 × 88,193.25
  4. Step 4: Simplify right side
    40,675.13x = 7,778,049,345.56
  5. Step 5: Solve for x
    x = 7,778,049,345.56/40,675.13
  6. Step 6: Final answer
    x = 191,223.74

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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.