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Finding the Third Proportional to 211,729,203 and 458,632,854

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Solution

The third proportional to 211,729,203 and 458,632,854 is: 993,458,114.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,729,203 : 458,632,854 = 458,632,854 : x
  2. Step 2: Convert to fraction form
    211,729,203/458,632,854 = 458,632,854/x
  3. Step 3: Cross multiply
    211,729,203x = 458,632,854 × 458,632,854
  4. Step 4: Simplify right side
    211,729,203x = 210,344,094,768,185,312
  5. Step 5: Solve for x
    x = 210,344,094,768,185,312/211,729,203
  6. Step 6: Final answer
    x = 993,458,114.36

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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.