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Finding the Third Proportional to 109,882,806 and 228,808,452

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Solution

The third proportional to 109,882,806 and 228,808,452 is: 476,446,767.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,882,806 : 228,808,452 = 228,808,452 : x
  2. Step 2: Convert to fraction form
    109,882,806/228,808,452 = 228,808,452/x
  3. Step 3: Cross multiply
    109,882,806x = 228,808,452 × 228,808,452
  4. Step 4: Simplify right side
    109,882,806x = 52,353,307,706,636,304
  5. Step 5: Solve for x
    x = 52,353,307,706,636,304/109,882,806
  6. Step 6: Final answer
    x = 476,446,767.36

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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.