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Finding the Third Proportional to 109,882,800 and 228,808,440

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Solution

The third proportional to 109,882,800 and 228,808,440 is: 476,446,743.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,882,800 : 228,808,440 = 228,808,440 : x
  2. Step 2: Convert to fraction form
    109,882,800/228,808,440 = 228,808,440/x
  3. Step 3: Cross multiply
    109,882,800x = 228,808,440 × 228,808,440
  4. Step 4: Simplify right side
    109,882,800x = 52,353,302,215,233,600
  5. Step 5: Solve for x
    x = 52,353,302,215,233,600/109,882,800
  6. Step 6: Final answer
    x = 476,446,743.40

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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.