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Finding the Third Proportional to 40,937.91 and 90,122.63

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Solution

The third proportional to 40,937.91 and 90,122.63 is: 198,400.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,937.91 : 90,122.63 = 90,122.63 : x
  2. Step 2: Convert to fraction form
    40,937.91/90,122.63 = 90,122.63/x
  3. Step 3: Cross multiply
    40,937.91x = 90,122.63 × 90,122.63
  4. Step 4: Simplify right side
    40,937.91x = 8,122,087,536.89
  5. Step 5: Solve for x
    x = 8,122,087,536.89/40,937.91
  6. Step 6: Final answer
    x = 198,400.17

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.