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Finding the Third Proportional to 211,725,859 and 458,626,469.50

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Solution

The third proportional to 211,725,859 and 458,626,469.50 is: 993,446,145.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,725,859 : 458,626,469.50 = 458,626,469.50 : x
  2. Step 2: Convert to fraction form
    211,725,859/458,626,469.50 = 458,626,469.50/x
  3. Step 3: Cross multiply
    211,725,859x = 458,626,469.50 × 458,626,469.50
  4. Step 4: Simplify right side
    211,725,859x = 210,338,238,526,034,432
  5. Step 5: Solve for x
    x = 210,338,238,526,034,432/211,725,859
  6. Step 6: Final answer
    x = 993,446,145.50

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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.