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Finding the Third Proportional to 109,884,438 and 228,811,500

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Solution

The third proportional to 109,884,438 and 228,811,500 is: 476,452,384.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,884,438 : 228,811,500 = 228,811,500 : x
  2. Step 2: Convert to fraction form
    109,884,438/228,811,500 = 228,811,500/x
  3. Step 3: Cross multiply
    109,884,438x = 228,811,500 × 228,811,500
  4. Step 4: Simplify right side
    109,884,438x = 52,354,702,532,250,000
  5. Step 5: Solve for x
    x = 52,354,702,532,250,000/109,884,438
  6. Step 6: Final answer
    x = 476,452,384.75

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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.