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Finding the Third Proportional to 109,882,824 and 228,808,488

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Solution

The third proportional to 109,882,824 and 228,808,488 is: 476,446,839.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,882,824 : 228,808,488 = 228,808,488 : x
  2. Step 2: Convert to fraction form
    109,882,824/228,808,488 = 228,808,488/x
  3. Step 3: Cross multiply
    109,882,824x = 228,808,488 × 228,808,488
  4. Step 4: Simplify right side
    109,882,824x = 52,353,324,180,846,144
  5. Step 5: Solve for x
    x = 52,353,324,180,846,144/109,882,824
  6. Step 6: Final answer
    x = 476,446,839.23

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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.