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Finding the Third Proportional to 40,748.06 and 86,401.69

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Solution

The third proportional to 40,748.06 and 86,401.69 is: 183,205.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,748.06 : 86,401.69 = 86,401.69 : x
  2. Step 2: Convert to fraction form
    40,748.06/86,401.69 = 86,401.69/x
  3. Step 3: Cross multiply
    40,748.06x = 86,401.69 × 86,401.69
  4. Step 4: Simplify right side
    40,748.06x = 7,465,251,602.85
  5. Step 5: Solve for x
    x = 7,465,251,602.85/40,748.06
  6. Step 6: Final answer
    x = 183,205.07

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.