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Finding the Third Proportional to 109,705,863 and 228,491,784

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Solution

The third proportional to 109,705,863 and 228,491,784 is: 475,895,215.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,705,863 : 228,491,784 = 228,491,784 : x
  2. Step 2: Convert to fraction form
    109,705,863/228,491,784 = 228,491,784/x
  3. Step 3: Cross multiply
    109,705,863x = 228,491,784 × 228,491,784
  4. Step 4: Simplify right side
    109,705,863x = 52,208,495,355,502,656
  5. Step 5: Solve for x
    x = 52,208,495,355,502,656/109,705,863
  6. Step 6: Final answer
    x = 475,895,215.88

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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.