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Finding the Third Proportional to 211,785,024 and 458,737,200

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Solution

The third proportional to 211,785,024 and 458,737,200 is: 993,648,250.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,785,024 : 458,737,200 = 458,737,200 : x
  2. Step 2: Convert to fraction form
    211,785,024/458,737,200 = 458,737,200/x
  3. Step 3: Cross multiply
    211,785,024x = 458,737,200 × 458,737,200
  4. Step 4: Simplify right side
    211,785,024x = 210,439,818,663,840,000
  5. Step 5: Solve for x
    x = 210,439,818,663,840,000/211,785,024
  6. Step 6: Final answer
    x = 993,648,250.90

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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.