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Finding the Third Proportional to 109,705,758 and 228,491,577

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Solution

The third proportional to 109,705,758 and 228,491,577 is: 475,894,809.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,705,758 : 228,491,577 = 228,491,577 : x
  2. Step 2: Convert to fraction form
    109,705,758/228,491,577 = 228,491,577/x
  3. Step 3: Cross multiply
    109,705,758x = 228,491,577 × 228,491,577
  4. Step 4: Simplify right side
    109,705,758x = 52,208,400,759,946,928
  5. Step 5: Solve for x
    x = 52,208,400,759,946,928/109,705,758
  6. Step 6: Final answer
    x = 475,894,809.09

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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.