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Finding the Third Proportional to 109,109,288 and 238,217,644

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Solution

The third proportional to 109,109,288 and 238,217,644 is: 520,099,131.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,109,288 : 238,217,644 = 238,217,644 : x
  2. Step 2: Convert to fraction form
    109,109,288/238,217,644 = 238,217,644/x
  3. Step 3: Cross multiply
    109,109,288x = 238,217,644 × 238,217,644
  4. Step 4: Simplify right side
    109,109,288x = 56,747,645,912,910,736
  5. Step 5: Solve for x
    x = 56,747,645,912,910,736/109,109,288
  6. Step 6: Final answer
    x = 520,099,131.37

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.