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Finding the Third Proportional to 40,304 and 88,658

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Solution

The third proportional to 40,304 and 88,658 is: 195,023.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,304 : 88,658 = 88,658 : x
  2. Step 2: Convert to fraction form
    40,304/88,658 = 88,658/x
  3. Step 3: Cross multiply
    40,304x = 88,658 × 88,658
  4. Step 4: Simplify right side
    40,304x = 7,860,240,964
  5. Step 5: Solve for x
    x = 7,860,240,964/40,304
  6. Step 6: Final answer
    x = 195,023.84

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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.