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Finding the Third Proportional to 109,882,828 and 228,808,496

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Solution

The third proportional to 109,882,828 and 228,808,496 is: 476,446,855.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,882,828 : 228,808,496 = 228,808,496 : x
  2. Step 2: Convert to fraction form
    109,882,828/228,808,496 = 228,808,496/x
  3. Step 3: Cross multiply
    109,882,828x = 228,808,496 × 228,808,496
  4. Step 4: Simplify right side
    109,882,828x = 52,353,327,841,782,016
  5. Step 5: Solve for x
    x = 52,353,327,841,782,016/109,882,828
  6. Step 6: Final answer
    x = 476,446,855.21

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.