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Finding the Third Proportional to 40,229 and 88,388

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Solution

The third proportional to 40,229 and 88,388 is: 194,199.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,229 : 88,388 = 88,388 : x
  2. Step 2: Convert to fraction form
    40,229/88,388 = 88,388/x
  3. Step 3: Cross multiply
    40,229x = 88,388 × 88,388
  4. Step 4: Simplify right side
    40,229x = 7,812,438,544
  5. Step 5: Solve for x
    x = 7,812,438,544/40,229
  6. Step 6: Final answer
    x = 194,199.17

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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.