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Finding the Third Proportional to 109,882,803 and 228,808,446

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Solution

The third proportional to 109,882,803 and 228,808,446 is: 476,446,755.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,882,803 : 228,808,446 = 228,808,446 : x
  2. Step 2: Convert to fraction form
    109,882,803/228,808,446 = 228,808,446/x
  3. Step 3: Cross multiply
    109,882,803x = 228,808,446 × 228,808,446
  4. Step 4: Simplify right side
    109,882,803x = 52,353,304,960,934,912
  5. Step 5: Solve for x
    x = 52,353,304,960,934,912/109,882,803
  6. Step 6: Final answer
    x = 476,446,755.38

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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.