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Finding the Third Proportional to 211,729,201 and 458,632,850

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Solution

The third proportional to 211,729,201 and 458,632,850 is: 993,458,106.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,729,201 : 458,632,850 = 458,632,850 : x
  2. Step 2: Convert to fraction form
    211,729,201/458,632,850 = 458,632,850/x
  3. Step 3: Cross multiply
    211,729,201x = 458,632,850 × 458,632,850
  4. Step 4: Simplify right side
    211,729,201x = 210,344,091,099,122,496
  5. Step 5: Solve for x
    x = 210,344,091,099,122,496/211,729,201
  6. Step 6: Final answer
    x = 993,458,106.42

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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.