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Finding the Third Proportional to 211,785,026 and 458,737,204

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Solution

The third proportional to 211,785,026 and 458,737,204 is: 993,648,258.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,785,026 : 458,737,204 = 458,737,204 : x
  2. Step 2: Convert to fraction form
    211,785,026/458,737,204 = 458,737,204/x
  3. Step 3: Cross multiply
    211,785,026x = 458,737,204 × 458,737,204
  4. Step 4: Simplify right side
    211,785,026x = 210,439,822,333,737,600
  5. Step 5: Solve for x
    x = 210,439,822,333,737,600/211,785,026
  6. Step 6: Final answer
    x = 993,648,258.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.